40086560 has 48 divisors (see below), whose sum is σ = 95256000. Its totient is φ = 15941376.

The previous prime is 40086559. The next prime is 40086583. The reversal of 40086560 is 6568004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31211 + ... + 32469.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^40086560 is an apocalyptic number.

40086560 is a gapful number since it is divisible by the number (40) 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 40086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628000).

40086560 is an abundant number, since it is smaller than the sum of its proper divisors (55169440).

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

40086560 is a wasteful number, since it uses less digits than its factorization.

40086560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 40086560 is about 6331.3947910393. The cubic root of 40086560 is about 342.2417041313.

The spelling of 40086560 in words is "forty million, eighty-six thousand, five hundred sixty".