45922680 has 128 divisors (see below), whose sum is σ = 154958400. Its totient is φ = 12096000.

The previous prime is 45922649. The next prime is 45922717. The reversal of 45922680 is 8622954.

It is a happy number.

45922680 is a `hidden beast` number, since 4 + 592 + 2 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108870 + ... + 109290.

Almost surely, 2^45922680 is an apocalyptic number.

45922680 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 45922680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77479200).

45922680 is an abundant number, since it is smaller than the sum of its proper divisors (109035720).

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

45922680 is a wasteful number, since it uses less digits than its factorization.

45922680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45922680 is about 6776.6274798014. The cubic root of 45922680 is about 358.1039199785.

The spelling of 45922680 in words is "forty-five million, nine hundred twenty-two thousand, six hundred eighty".