361564812 has 144 divisors (see below), whose sum is σ = 1088319232. Its totient is φ = 99066240.

The previous prime is 361564799. The next prime is 361564831. The reversal of 361564812 is 218465163.

It is a happy number.

361564812 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 648 + 1 + 2 = 666.

It is a super-2 number, since 2×361564812² = 261458226553190688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660723 + ... + 661269.

Almost surely, 2^361564812 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 361564812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544159616).

361564812 is an abundant number, since it is smaller than the sum of its proper divisors (726754420).

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

361564812 is a wasteful number, since it uses less digits than its factorization.

361564812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 361564812 is about 19014.8576644686. The cubic root of 361564812 is about 712.4078876305.

The spelling of 361564812 in words is "three hundred sixty-one million, five hundred sixty-four thousand, eight hundred twelve".