336896160 has 96 divisors (see below), whose sum is σ = 1065742272. Its totient is φ = 89456640.

The previous prime is 336896159. The next prime is 336896177. The reversal of 336896160 is 61698633.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×336896160² = 226998045245491200, which contains 22 as substring.

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, 121995 + ... + 124725.

It is an arithmetic number, because the mean of its divisors is an integer number (11101482).

Almost surely, 2^336896160 is an apocalyptic number.

336896160 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 336896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532871136).

336896160 is an abundant number, since it is smaller than the sum of its proper divisors (728846112).

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

336896160 is a wasteful number, since it uses less digits than its factorization.

336896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 336896160 is about 18354.7312701657. The cubic root of 336896160 is about 695.8228509383.

The spelling of 336896160 in words is "three hundred thirty-six million, eight hundred ninety-six thousand, one hundred sixty".