8315168400 has 1080 divisors, whose sum is σ = 37963528512. Its totient is φ = 1710720000.

The previous prime is 8315168371. The next prime is 8315168423. The reversal of 8315168400 is 48615138.

8315168400 is a `hidden beast` number, since 83 + 15 + 168 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82328350 + ... + 82328450.

Almost surely, 2^8315168400 is an apocalyptic number.

8315168400 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 8315168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18981764256).

8315168400 is an abundant number, since it is smaller than the sum of its proper divisors (29648360112).

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

8315168400 is a wasteful number, since it uses less digits than its factorization.

8315168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8315168400 is about 91187.5452021821. The cubic root of 8315168400 is about 2025.9264896227.

It can be divided in two parts, 8315 and 168400, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 8315168400 in words is "eight billion, three hundred fifteen million, one hundred sixty-eight thousand, four hundred".