8150400 has 144 divisors (see below), whose sum is σ = 29185260. Its totient is φ = 2165760.

The previous prime is 8150399. The next prime is 8150413. The reversal of 8150400 is 40518.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 28659 + ... + 28941.

Almost surely, 2^8150400 is an apocalyptic number.

8150400 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 8150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592630).

8150400 is an abundant number, since it is smaller than the sum of its proper divisors (21034860).

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

8150400 is a wasteful number, since it uses less digits than its factorization.

8150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8150400 is about 2854.8905408089. The cubic root of 8150400 is about 201.2455601299.

Adding to 8150400 its reverse (40518), we get a palindrome (8190918).

The spelling of 8150400 in words is "eight million, one hundred fifty thousand, four hundred".