87562080 has 96 divisors (see below), whose sum is σ = 306482400. Its totient is φ = 23348736.

The previous prime is 87562067. The next prime is 87562093. The reversal of 87562080 is 8026578.

It is an interprime number because it is at equal distance from previous prime (87562067) and next prime (87562093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5815 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (3192525).

Almost surely, 2^87562080 is an apocalyptic number.

87562080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87562080 is an abundant number, since it is smaller than the sum of its proper divisors (218920320).

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

87562080 is a wasteful number, since it uses less digits than its factorization.

87562080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20279 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87562080 is about 9357.4611941488. The cubic root of 87562080 is about 444.0569685850.

The spelling of 87562080 in words is "eighty-seven million, five hundred sixty-two thousand, eighty".