45927120 has 80 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 11850240.

The previous prime is 45927107. The next prime is 45927143. The reversal of 45927120 is 2172954.

45927120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 10526.

Almost surely, 2^45927120 is an apocalyptic number.

45927120 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 45927120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

45927120 is an abundant number, since it is smaller than the sum of its proper divisors (101063472).

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

45927120 is a wasteful number, since it uses less digits than its factorization.

45927120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 45927120 is about 6776.9550684655. The cubic root of 45927120 is about 358.1154606099.

The spelling of 45927120 in words is "forty-five million, nine hundred twenty-seven thousand, one hundred twenty".