363990960 has 120 divisors (see below), whose sum is σ = 1231535760. Its totient is φ = 96339456.

The previous prime is 363990959. The next prime is 363990973. The reversal of 363990960 is 69099363.

363990960 is a `hidden beast` number, since 3 + 639 + 9 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98262 + ... + 101898.

It is an arithmetic number, because the mean of its divisors is an integer number (10262798).

Almost surely, 2^363990960 is an apocalyptic number.

363990960 is a gapful number since it is divisible by the number (30) 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 363990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615767880).

363990960 is an abundant number, since it is smaller than the sum of its proper divisors (867544800).

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

363990960 is a wasteful number, since it uses less digits than its factorization.

363990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 363990960 is about 19078.5471144949. The cubic root of 363990960 is about 713.9977873434.

The spelling of 363990960 in words is "three hundred sixty-three million, nine hundred ninety thousand, nine hundred sixty".