36046560 has 96 divisors (see below), whose sum is σ = 123887232. Its totient is φ = 8737280.

The previous prime is 36046541. The next prime is 36046567. The reversal of 36046560 is 6564063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36046567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867 + ... + 8693.

It is an arithmetic number, because the mean of its divisors is an integer number (1290492).

Almost surely, 2^36046560 is an apocalyptic number.

36046560 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 36046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61943616).

36046560 is an abundant number, since it is smaller than the sum of its proper divisors (87840672).

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

36046560 is a wasteful number, since it uses less digits than its factorization.

36046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 36046560 is about 6003.8787462773. The cubic root of 36046560 is about 330.3350133175.

The spelling of 36046560 in words is "thirty-six million, forty-six thousand, five hundred sixty".