36486720 has 224 divisors, whose sum is σ = 133136640. Its totient is φ = 9400320.

The previous prime is 36486713. The next prime is 36486731. The reversal of 36486720 is 2768463.

36486720 is a `hidden beast` number, since 3 + 648 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354189 + ... + 354291.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^36486720 is an apocalyptic number.

36486720 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 36486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

36486720 is an abundant number, since it is smaller than the sum of its proper divisors (96649920).

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

36486720 is a wasteful number, since it uses less digits than its factorization.

36486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36486720 is about 6040.4238261897. The cubic root of 36486720 is about 331.6741371291.

The spelling of 36486720 in words is "thirty-six million, four hundred eighty-six thousand, seven hundred twenty".