87620880 has 80 divisors (see below), whose sum is σ = 280410624. Its totient is φ = 22609920.

The previous prime is 87620857. The next prime is 87620881. The reversal of 87620880 is 8802678.

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

It is a super-2 number, since 2×87620880² = 15354837223948800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87620881) 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 15 ways as a sum of consecutive naturals, for example, 1552 + ... + 13328.

Almost surely, 2^87620880 is an apocalyptic number.

87620880 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 87620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140205312).

87620880 is an abundant number, since it is smaller than the sum of its proper divisors (192789744).

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

87620880 is a wasteful number, since it uses less digits than its factorization.

87620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11824 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 87620880 is about 9360.6025447083. The cubic root of 87620880 is about 444.1563445832.

The spelling of 87620880 in words is "eighty-seven million, six hundred twenty thousand, eight hundred eighty".