36400560 has 160 divisors (see below), whose sum is σ = 131991552. Its totient is φ = 8125440.

The previous prime is 36400549. The next prime is 36400583. The reversal of 36400560 is 6500463.

36400560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36400560.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78730 + ... + 79190.

Almost surely, 2^36400560 is an apocalyptic number.

36400560 is a gapful number since it is divisible by the number (30) 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 36400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65995776).

36400560 is an abundant number, since it is smaller than the sum of its proper divisors (95590992).

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

36400560 is a wasteful number, since it uses less digits than its factorization.

36400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 36400560 is about 6033.2876609689. The cubic root of 36400560 is about 331.4128588044.

The spelling of 36400560 in words is "thirty-six million, four hundred thousand, five hundred sixty".