361256616 has 72 divisors (see below), whose sum is σ = 1138153770. Its totient is φ = 103215168.

The previous prime is 361256611. The next prime is 361256677. The reversal of 361256616 is 616652163.

361256616 is a `hidden beast` number, since 36 + 1 + 2 + 5 + 6 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 300883716 + 60372900 = 17346^2 + 7770^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (361256611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47671 + ... + 54726.

Almost surely, 2^361256616 is an apocalyptic number.

361256616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361256616 is an abundant number, since it is smaller than the sum of its proper divisors (776897154).

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

361256616 is a wasteful number, since it uses less digits than its factorization.

361256616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102423 (or 102409 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 361256616 is about 19006.7518529600. The cubic root of 361256616 is about 712.2054124744.

The spelling of 361256616 in words is "three hundred sixty-one million, two hundred fifty-six thousand, six hundred sixteen".