360881808 has 80 divisors (see below), whose sum is σ = 1073264640. Its totient is φ = 102354048.

The previous prime is 360881791. The next prime is 360881827. The reversal of 360881808 is 808188063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 360881808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42841 + ... + 50567.

It is an arithmetic number, because the mean of its divisors is an integer number (13415808).

Almost surely, 2^360881808 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 360881808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536632320).

360881808 is an abundant number, since it is smaller than the sum of its proper divisors (712382832).

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

360881808 is a wasteful number, since it uses less digits than its factorization.

360881808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 360881808 is about 18996.8894295882. The cubic root of 360881808 is about 711.9590200712.

The spelling of 360881808 in words is "three hundred sixty million, eight hundred eighty-one thousand, eight hundred eight".