87903360 has 128 divisors (see below), whose sum is σ = 311385600. Its totient is φ = 23436288.

The previous prime is 87903359. The next prime is 87903407. The reversal of 87903360 is 6330978.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14737 + ... + 19823.

It is an arithmetic number, because the mean of its divisors is an integer number (2432700).

Almost surely, 2^87903360 is an apocalyptic number.

87903360 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 87903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692800).

87903360 is an abundant number, since it is smaller than the sum of its proper divisors (223482240).

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

87903360 is a wasteful number, since it uses less digits than its factorization.

87903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5097 counting only the distinct ones).

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

The square root of 87903360 is about 9375.6791753984. The cubic root of 87903360 is about 444.6331361747.

The spelling of 87903360 in words is "eighty-seven million, nine hundred three thousand, three hundred sixty".