46615920 has 160 divisors (see below), whose sum is σ = 158656512. Its totient is φ = 11252736.

The previous prime is 46615903. The next prime is 46615937. The reversal of 46615920 is 2951664.

46615920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46615903) and next prime (46615937).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208929 + ... + 209151.

Almost surely, 2^46615920 is an apocalyptic number.

46615920 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 46615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79328256).

46615920 is an abundant number, since it is smaller than the sum of its proper divisors (112040592).

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

46615920 is a wasteful number, since it uses less digits than its factorization.

46615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 46615920 is about 6827.5852246603. The cubic root of 46615920 is about 359.8968840472.

The spelling of 46615920 in words is "forty-six million, six hundred fifteen thousand, nine hundred twenty".