87626880 has 256 divisors, whose sum is σ = 339292800. Its totient is φ = 21196800.

The previous prime is 87626843. The next prime is 87626887. The reversal of 87626880 is 8862678.

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

It is not an unprimeable number, because it can be changed into a prime (87626887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189850 + ... + 190310.

Almost surely, 2^87626880 is an apocalyptic number.

87626880 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 87626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

87626880 is an abundant number, since it is smaller than the sum of its proper divisors (251665920).

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

87626880 is a wasteful number, since it uses less digits than its factorization.

87626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 87626880 is about 9360.9230314110. The cubic root of 87626880 is about 444.1664824911.

The spelling of 87626880 in words is "eighty-seven million, six hundred twenty-six thousand, eight hundred eighty".