87554880 has 336 divisors, whose sum is σ = 355665024. Its totient is φ = 19353600.

The previous prime is 87554851. The next prime is 87554891. The reversal of 87554880 is 8845578.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866830 + ... + 866930.

Almost surely, 2^87554880 is an apocalyptic number.

87554880 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 87554880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177832512).

87554880 is an abundant number, since it is smaller than the sum of its proper divisors (268110144).

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

87554880 is a wasteful number, since it uses less digits than its factorization.

87554880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 87554880 is about 9357.0764665038. The cubic root of 87554880 is about 444.0447970384.

It can be divided in two parts, 875 and 54880, that added together give a palindrome (55755).

The spelling of 87554880 in words is "eighty-seven million, five hundred fifty-four thousand, eight hundred eighty".