87695400 has 96 divisors (see below), whose sum is σ = 292793760. Its totient is φ = 21584640.

The previous prime is 87695383. The next prime is 87695407. The reversal of 87695400 is 459678.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87695407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179 + ... + 13421.

It is an arithmetic number, because the mean of its divisors is an integer number (3049935).

Almost surely, 2^87695400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146396880).

87695400 is an abundant number, since it is smaller than the sum of its proper divisors (205098360).

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

87695400 is a wasteful number, since it uses less digits than its factorization.

87695400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 87695400 is about 9364.5822117167. The cubic root of 87695400 is about 444.2822245941.

The spelling of 87695400 in words is "eighty-seven million, six hundred ninety-five thousand, four hundred".