46608960 has 112 divisors (see below), whose sum is σ = 151278336. Its totient is φ = 12152832.

The previous prime is 46608953. The next prime is 46608977. The reversal of 46608960 is 6980664.

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, 44604 + ... + 45636.

Almost surely, 2^46608960 is an apocalyptic number.

46608960 is a gapful number since it is divisible by the number (40) 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 46608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75639168).

46608960 is an abundant number, since it is smaller than the sum of its proper divisors (104669376).

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

46608960 is a wasteful number, since it uses less digits than its factorization.

46608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 46608960 is about 6827.0755085908. The cubic root of 46608960 is about 359.8789716617.

The spelling of 46608960 in words is "forty-six million, six hundred eight thousand, nine hundred sixty".