46680960 has 128 divisors (see below), whose sum is σ = 152681760. Its totient is φ = 12124160.

The previous prime is 46680941. The next prime is 46680971. The reversal of 46680960 is 6908664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×46680960² = 4358224053043200, which contains 22 as substring.

It is a congruent number.

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, 78424 + ... + 79016.

Almost surely, 2^46680960 is an apocalyptic number.

46680960 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 46680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340880).

46680960 is an abundant number, since it is smaller than the sum of its proper divisors (106000800).

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

46680960 is a wasteful number, since it uses less digits than its factorization.

46680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 644 counting only the distinct ones).

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

The square root of 46680960 is about 6832.3465954239. The cubic root of 46680960 is about 360.0641860861.

The spelling of 46680960 in words is "forty-six million, six hundred eighty thousand, nine hundred sixty".