87752104 has 48 divisors (see below), whose sum is σ = 182063700. Its totient is φ = 39621120.

The previous prime is 87752101. The next prime is 87752129. The reversal of 87752104 is 40125778.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75516100 + 12236004 = 8690^2 + 3498^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87752104.

It is not an unprimeable number, because it can be changed into a prime (87752101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260224 + ... + 260560.

Almost surely, 2^87752104 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 87752104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91031850).

87752104 is an abundant number, since it is smaller than the sum of its proper divisors (94311596).

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

87752104 is a wasteful number, since it uses less digits than its factorization.

87752104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 87752104 is about 9367.6093001363. The cubic root of 87752104 is about 444.3779618519.

The spelling of 87752104 in words is "eighty-seven million, seven hundred fifty-two thousand, one hundred four".