8152400 has 60 divisors (see below), whose sum is σ = 19892700. Its totient is φ = 3210240.

The previous prime is 8152379. The next prime is 8152409. The reversal of 8152400 is 42518.

It can be written as a sum of positive squares in 6 ways, for example, as 18496 + 8133904 = 136^2 + 2852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8152409) 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 11 ways as a sum of consecutive naturals, for example, 35486 + ... + 35714.

It is an arithmetic number, because the mean of its divisors is an integer number (331545).

Almost surely, 2^8152400 is an apocalyptic number.

8152400 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 8152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946350).

8152400 is an abundant number, since it is smaller than the sum of its proper divisors (11740300).

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

8152400 is a wasteful number, since it uses less digits than its factorization.

8152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8152400 is about 2855.2407954497. The cubic root of 8152400 is about 201.2620197803.

Adding to 8152400 its reverse (42518), we get a palindrome (8194918).

The spelling of 8152400 in words is "eight million, one hundred fifty-two thousand, four hundred".