361624968 has 48 divisors (see below), whose sum is σ = 984847500. Its totient is φ = 119871360.

The previous prime is 361624943. The next prime is 361624979. The reversal of 361624968 is 869426163.

361624968 is a `hidden beast` number, since 3 + 616 + 24 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289748484 + 71876484 = 17022^2 + 8478^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 843 + ... + 26906.

Almost surely, 2^361624968 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 361624968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492423750).

361624968 is an abundant number, since it is smaller than the sum of its proper divisors (623222532).

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

361624968 is a wasteful number, since it uses less digits than its factorization.

361624968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27942 (or 27935 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 361624968 is about 19016.4394143594. The cubic root of 361624968 is about 712.4473948235.

The spelling of 361624968 in words is "three hundred sixty-one million, six hundred twenty-four thousand, nine hundred sixty-eight".