87749520 has 80 divisors (see below), whose sum is σ = 276678720. Its totient is φ = 22999552.

The previous prime is 87749479. The next prime is 87749549. The reversal of 87749520 is 2594778.

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

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, 11062 + ... + 17258.

It is an arithmetic number, because the mean of its divisors is an integer number (3458484).

Almost surely, 2^87749520 is an apocalyptic number.

87749520 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 87749520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138339360).

87749520 is an abundant number, since it is smaller than the sum of its proper divisors (188929200).

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

87749520 is a wasteful number, since it uses less digits than its factorization.

87749520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 87749520 is about 9367.4713770580. The cubic root of 87749520 is about 444.3736000043.

The spelling of 87749520 in words is "eighty-seven million, seven hundred forty-nine thousand, five hundred twenty".