45656640 has 168 divisors, whose sum is σ = 159763968. Its totient is φ = 11965440.

The previous prime is 45656629. The next prime is 45656641. The reversal of 45656640 is 4665654.

It is a happy number.

45656640 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45656595 and 45656604.

It is not an unprimeable number, because it can be changed into a prime (45656641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238945 + ... + 239135.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^45656640 is an apocalyptic number.

45656640 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 45656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79881984).

45656640 is an abundant number, since it is smaller than the sum of its proper divisors (114107328).

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

45656640 is a wasteful number, since it uses less digits than its factorization.

45656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45656640 is about 6756.9697350218. The cubic root of 45656640 is about 357.4110558393.

The spelling of 45656640 in words is "forty-five million, six hundred fifty-six thousand, six hundred forty".