87339520 has 80 divisors (see below), whose sum is σ = 212006520. Its totient is φ = 34504704.

The previous prime is 87339517. The next prime is 87339521. The reversal of 87339520 is 2593378.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 37552384 = 7056^2 + 6128^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 87339520.

It is not an unprimeable number, because it can be changed into a prime (87339521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278884 + ... + 279196.

Almost surely, 2^87339520 is an apocalyptic number.

87339520 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 87339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106003260).

87339520 is an abundant number, since it is smaller than the sum of its proper divisors (124667000).

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

87339520 is a wasteful number, since it uses less digits than its factorization.

87339520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 87339520 is about 9345.5615133602. The cubic root of 87339520 is about 443.6804236614.

The spelling of 87339520 in words is "eighty-seven million, three hundred thirty-nine thousand, five hundred twenty".