87074688 has 64 divisors (see below), whose sum is σ = 241372800. Its totient is φ = 27760128.

The previous prime is 87074681. The next prime is 87074747. The reversal of 87074688 is 88647078.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87074681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3903 + ... + 13761.

It is an arithmetic number, because the mean of its divisors is an integer number (3771450).

Almost surely, 2^87074688 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 87074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120686400).

87074688 is an abundant number, since it is smaller than the sum of its proper divisors (154298112).

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

87074688 is a wasteful number, since it uses less digits than its factorization.

87074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 87074688 is about 9331.3818912313. The cubic root of 87074688 is about 443.2315251679.

The spelling of 87074688 in words is "eighty-seven million, seventy-four thousand, six hundred eighty-eight".