45767568 has 240 divisors, whose sum is σ = 157757760. Its totient is φ = 11289600.

The previous prime is 45767551. The next prime is 45767581. The reversal of 45767568 is 86576754.

45767568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (1411200) is a multiple of the sum of its prime factors (126).

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 47 ways as a sum of consecutive naturals, for example, 750258 + ... + 750318.

It is an arithmetic number, because the mean of its divisors is an integer number (657324).

Almost surely, 2^45767568 is an apocalyptic number.

45767568 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 45767568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878880).

45767568 is an abundant number, since it is smaller than the sum of its proper divisors (111990192).

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

45767568 is a wasteful number, since it uses less digits than its factorization.

45767568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 45767568 is about 6765.1731685153. The cubic root of 45767568 is about 357.7002786701.

The spelling of 45767568 in words is "forty-five million, seven hundred sixty-seven thousand, five hundred sixty-eight".