45868680 has 336 divisors, whose sum is σ = 183164940. Its totient is φ = 10264320.

The previous prime is 45868673. The next prime is 45868687. The reversal of 45868680 is 8686854.

45868680 is a `hidden beast` number, since 4 + 586 + 8 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45868673) and next prime (45868687).

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 3175524 = 6534^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (45868687) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3528354 + ... + 3528366.

Almost surely, 2^45868680 is an apocalyptic number.

45868680 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 45868680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91582470).

45868680 is an abundant number, since it is smaller than the sum of its proper divisors (137296260).

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

45868680 is a wasteful number, since it uses less digits than its factorization.

45868680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 45868680 is about 6772.6420250889. The cubic root of 45868680 is about 357.9635013715.

The spelling of 45868680 in words is "forty-five million, eight hundred sixty-eight thousand, six hundred eighty".