361846080 has 84 divisors (see below), whose sum is σ = 1244609652. Its totient is φ = 96491520.

The previous prime is 361846057. The next prime is 361846087. The reversal of 361846080 is 80648163.

It is a happy number.

361846080 is a `hidden beast` number, since 36 + 18 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90782784 + 271063296 = 9528^2 + 16464^2 .

It is a super-2 number, since 2×361846080² = 261865171222732800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361846087) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59941 + ... + 65700.

Almost surely, 2^361846080 is an apocalyptic number.

361846080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361846080 is an abundant number, since it is smaller than the sum of its proper divisors (882763572).

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

361846080 is a wasteful number, since it uses less digits than its factorization.

361846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125664 (or 125651 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 361846080 is about 19022.2522325828. The cubic root of 361846080 is about 712.5925715363.

The spelling of 361846080 in words is "three hundred sixty-one million, eight hundred forty-six thousand, eighty".