87989280 has 192 divisors, whose sum is σ = 301771008. Its totient is φ = 21463040.

The previous prime is 87989257. The next prime is 87989299. The reversal of 87989280 is 8298978.

It is a super-2 number, since 2×87989280² = 15484226789836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334429 + ... + 334691.

It is an arithmetic number, because the mean of its divisors is an integer number (1571724).

Almost surely, 2^87989280 is an apocalyptic number.

87989280 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 87989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150885504).

87989280 is an abundant number, since it is smaller than the sum of its proper divisors (213781728).

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

87989280 is a wasteful number, since it uses less digits than its factorization.

87989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 87989280 is about 9380.2601243249. The cubic root of 87989280 is about 444.7779559663. Note that the first 3 decimals are identical.

The spelling of 87989280 in words is "eighty-seven million, nine hundred eighty-nine thousand, two hundred eighty".