87479568 has 160 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 25804800.

The previous prime is 87479563. The next prime is 87479599. The reversal of 87479568 is 86597478.

87479568 is a `hidden beast` number, since 8 + 7 + 4 + 79 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87479563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194608 + ... + 195056.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^87479568 is an apocalyptic number.

87479568 is a gapful number since it is divisible by the number (88) 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 87479568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

87479568 is an abundant number, since it is smaller than the sum of its proper divisors (193752432).

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

87479568 is a wasteful number, since it uses less digits than its factorization.

87479568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 87479568 is about 9353.0512668327. The cubic root of 87479568 is about 443.9174426488.

The spelling of 87479568 in words is "eighty-seven million, four hundred seventy-nine thousand, five hundred sixty-eight".