87756552 has 192 divisors, whose sum is σ = 274201200. Its totient is φ = 25159680.

The previous prime is 87756551. The next prime is 87756553. The reversal of 87756552 is 25565778.

87756552 is a `hidden beast` number, since 87 + 7 + 565 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (87756551) and next prime (87756553).

It can be written as a sum of positive squares in 8 ways, for example, as 14243076 + 73513476 = 3774^2 + 8574^2 .

Its product of digits (588000) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 87756498 and 87756507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87756551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438602 + ... + 1438662.

Almost surely, 2^87756552 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 87756552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

87756552 is an abundant number, since it is smaller than the sum of its proper divisors (186444648).

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

87756552 is a wasteful number, since it uses less digits than its factorization.

87756552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 87756552 is about 9367.8467109576. The cubic root of 87756552 is about 444.3854699712.

The spelling of 87756552 in words is "eighty-seven million, seven hundred fifty-six thousand, five hundred fifty-two".