8132400 has 150 divisors (see below), whose sum is σ = 29302812. Its totient is φ = 2160000.

The previous prime is 8132389. The next prime is 8132401. The reversal of 8132400 is 42318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×8132400² = 132271859520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8132401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32275 + ... + 32525.

Almost surely, 2^8132400 is an apocalyptic number.

8132400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651406).

8132400 is an abundant number, since it is smaller than the sum of its proper divisors (21170412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8132400 is a wasteful number, since it uses less digits than its factorization.

8132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8132400 is about 2851.7363131959. The cubic root of 8132400 is about 201.0973019651.

Adding to 8132400 its reverse (42318), we get a palindrome (8174718).

It can be divided in two parts, 81 and 32400, that multiplied together give a square (2624400 = 1620²).

The spelling of 8132400 in words is "eight million, one hundred thirty-two thousand, four hundred".