36461664 has 96 divisors (see below), whose sum is σ = 107866080. Its totient is φ = 12130560.

The previous prime is 36461629. The next prime is 36461681. The reversal of 36461664 is 46616463.

36461664 is a `hidden beast` number, since 3 + 646 + 1 + 6 + 6 + 4 = 666.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

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, 69724 + ... + 70244.

It is an arithmetic number, because the mean of its divisors is an integer number (1123605).

Almost surely, 2^36461664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53933040).

36461664 is an abundant number, since it is smaller than the sum of its proper divisors (71404416).

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

36461664 is an frugal number, since it uses more digits than its factorization.

36461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 526 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 36461664 is about 6038.3494433496. The cubic root of 36461664 is about 331.5981978082.

The spelling of 36461664 in words is "thirty-six million, four hundred sixty-one thousand, six hundred sixty-four".