87553920 has 128 divisors (see below), whose sum is σ = 288276480. Its totient is φ = 22579200.

The previous prime is 87553909. The next prime is 87553931. The reversal of 87553920 is 2935578.

It is an interprime number because it is at equal distance from previous prime (87553909) and next prime (87553931).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58785 + ... + 60255.

It is an arithmetic number, because the mean of its divisors is an integer number (2252160).

Almost surely, 2^87553920 is an apocalyptic number.

87553920 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 87553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144138240).

87553920 is an abundant number, since it is smaller than the sum of its proper divisors (200722560).

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

87553920 is a wasteful number, since it uses less digits than its factorization.

87553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 87553920 is about 9357.0251682893. The cubic root of 87553920 is about 444.0431741151.

The spelling of 87553920 in words is "eighty-seven million, five hundred fifty-three thousand, nine hundred twenty".