87061040 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 29030400.

The previous prime is 87061027. The next prime is 87061057. The reversal of 87061040 is 4016078.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685457 + ... + 685583.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^87061040 is an apocalyptic number.

87061040 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 87061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

87061040 is an abundant number, since it is smaller than the sum of its proper divisors (152923600).

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

87061040 is a wasteful number, since it uses less digits than its factorization.

87061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 87061040 is about 9330.6505668147. The cubic root of 87061040 is about 443.2083667351.

The spelling of 87061040 in words is "eighty-seven million, sixty-one thousand, forty".