361090656 has 96 divisors (see below), whose sum is σ = 1059458400. Its totient is φ = 119646720.

The previous prime is 361090633. The next prime is 361090661. The reversal of 361090656 is 656090163.

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 self number, because there is not a number n which added to its sum of digits gives 361090656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155230 + ... + 157538.

It is an arithmetic number, because the mean of its divisors is an integer number (11036025).

Almost surely, 2^361090656 is an apocalyptic number.

361090656 is a gapful number since it is divisible by the number (36) 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 361090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529729200).

361090656 is an abundant number, since it is smaller than the sum of its proper divisors (698367744).

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

361090656 is a wasteful number, since it uses less digits than its factorization.

361090656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 361090656 is about 19002.3855344533. The cubic root of 361090656 is about 712.0963342279.

The spelling of 361090656 in words is "three hundred sixty-one million, ninety thousand, six hundred fifty-six".