87024960 has 336 divisors, whose sum is σ = 339498432. Its totient is φ = 20275200.

The previous prime is 87024937. The next prime is 87024961. The reversal of 87024960 is 6942078.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87024961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298847 + ... + 1298913.

It is an arithmetic number, because the mean of its divisors is an integer number (1010412).

Almost surely, 2^87024960 is an apocalyptic number.

87024960 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 87024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169749216).

87024960 is an abundant number, since it is smaller than the sum of its proper divisors (252473472).

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

87024960 is a wasteful number, since it uses less digits than its factorization.

87024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87024960 is about 9328.7169535794. The cubic root of 87024960 is about 443.1471331937.

The spelling of 87024960 in words is "eighty-seven million, twenty-four thousand, nine hundred sixty".