36322560 has 144 divisors (see below), whose sum is σ = 129017280. Its totient is φ = 9676800.

The previous prime is 36322553. The next prime is 36322577. The reversal of 36322560 is 6522363.

36322560 is a `hidden beast` number, since 3 + 632 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34035 + ... + 35085.

Almost surely, 2^36322560 is an apocalyptic number.

36322560 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 36322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64508640).

36322560 is an abundant number, since it is smaller than the sum of its proper divisors (92694720).

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

36322560 is a wasteful number, since it uses less digits than its factorization.

36322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36322560 is about 6026.8200570450. The cubic root of 36322560 is about 331.1759696911.

The spelling of 36322560 in words is "thirty-six million, three hundred twenty-two thousand, five hundred sixty".