87039360 has 320 divisors, whose sum is σ = 328790880. Its totient is φ = 21897216.

The previous prime is 87039341. The next prime is 87039373. The reversal of 87039360 is 6393078.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1192284 + ... + 1192356.

Almost surely, 2^87039360 is an apocalyptic number.

87039360 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 87039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164395440).

87039360 is an abundant number, since it is smaller than the sum of its proper divisors (241751520).

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

87039360 is a wasteful number, since it uses less digits than its factorization.

87039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 87039360 is about 9329.4887319724. The cubic root of 87039360 is about 443.1715743302.

The spelling of 87039360 in words is "eighty-seven million, thirty-nine thousand, three hundred sixty".