87552080 has 160 divisors (see below), whose sum is σ = 259054848. Its totient is φ = 26726400.

The previous prime is 87552077. The next prime is 87552089. The reversal of 87552080 is 8025578.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 87552080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87552089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375644 + ... + 375876.

Almost surely, 2^87552080 is an apocalyptic number.

87552080 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 87552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

87552080 is an abundant number, since it is smaller than the sum of its proper divisors (171502768).

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

87552080 is a wasteful number, since it uses less digits than its factorization.

87552080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 87552080 is about 9356.9268459254. The cubic root of 87552080 is about 444.0400634790.

The spelling of 87552080 in words is "eighty-seven million, five hundred fifty-two thousand, eighty".