45607968 has 96 divisors (see below), whose sum is σ = 152046720. Its totient is φ = 13029120.

The previous prime is 45607951. The next prime is 45607973. The reversal of 45607968 is 86970654.

45607968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 2278 + ... + 9818.

It is an arithmetic number, because the mean of its divisors is an integer number (1583820).

Almost surely, 2^45607968 is an apocalyptic number.

45607968 is a gapful number since it is divisible by the number (48) 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 45607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76023360).

45607968 is an abundant number, since it is smaller than the sum of its proper divisors (106438752).

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

45607968 is a wasteful number, since it uses less digits than its factorization.

45607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45607968 is about 6753.3671601654. The cubic root of 45607968 is about 357.2840053440.

The spelling of 45607968 in words is "forty-five million, six hundred seven thousand, nine hundred sixty-eight".