45907968 has 64 divisors (see below), whose sum is σ = 122681520. Its totient is φ = 15269888.

The previous prime is 45907949. The next prime is 45907969. The reversal of 45907968 is 86970954.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45907969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98071 + ... + 98537.

Almost surely, 2^45907968 is an apocalyptic number.

45907968 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 45907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61340760).

45907968 is an abundant number, since it is smaller than the sum of its proper divisors (76773552).

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

45907968 is an frugal number, since it uses more digits than its factorization.

45907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 45907968 is about 6775.5418971474. The cubic root of 45907968 is about 358.0656746236.

The spelling of 45907968 in words is "forty-five million, nine hundred seven thousand, nine hundred sixty-eight".