87554560 has 80 divisors (see below), whose sum is σ = 219200256. Its totient is φ = 33476608.

The previous prime is 87554549. The next prime is 87554563. The reversal of 87554560 is 6545578.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87554563) 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 7 ways as a sum of consecutive naturals, for example, 58137 + ... + 59623.

Almost surely, 2^87554560 is an apocalyptic number.

87554560 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 87554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109600128).

87554560 is an abundant number, since it is smaller than the sum of its proper divisors (131645696).

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

87554560 is a wasteful number, since it uses less digits than its factorization.

87554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 87554560 is about 9357.0593671303. The cubic root of 87554560 is about 444.0442560653.

The spelling of 87554560 in words is "eighty-seven million, five hundred fifty-four thousand, five hundred sixty".