87738560 has 224 divisors, whose sum is σ = 270369792. Its totient is φ = 26357760.

The previous prime is 87738527. The next prime is 87738617. The reversal of 87738560 is 6583778.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 669695 + ... + 669825.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^87738560 is an apocalyptic number.

87738560 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 87738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

87738560 is an abundant number, since it is smaller than the sum of its proper divisors (182631232).

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

87738560 is a wasteful number, since it uses less digits than its factorization.

87738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 87738560 is about 9366.8863556680. The cubic root of 87738560 is about 444.3550983364.

The spelling of 87738560 in words is "eighty-seven million, seven hundred thirty-eight thousand, five hundred sixty".