45622080 has 336 divisors, whose sum is σ = 187659264. Its totient is φ = 9953280.

The previous prime is 45622063. The next prime is 45622103. The reversal of 45622080 is 8022654.

45622080 is a `hidden beast` number, since 4 + 562 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624924 + ... + 624996.

Almost surely, 2^45622080 is an apocalyptic number.

45622080 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 45622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829632).

45622080 is an abundant number, since it is smaller than the sum of its proper divisors (142037184).

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

45622080 is a wasteful number, since it uses less digits than its factorization.

45622080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45622080 is about 6754.4118914973. The cubic root of 45622080 is about 357.3208517707.

The spelling of 45622080 in words is "forty-five million, six hundred twenty-two thousand, eighty".