45867120 has 160 divisors (see below), whose sum is σ = 156281664. Its totient is φ = 11059200.

The previous prime is 45867113. The next prime is 45867137. The reversal of 45867120 is 2176854.

45867120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 190200 + ... + 190440.

Almost surely, 2^45867120 is an apocalyptic number.

45867120 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 45867120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140832).

45867120 is an abundant number, since it is smaller than the sum of its proper divisors (110414544).

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

45867120 is a wasteful number, since it uses less digits than its factorization.

45867120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45867120 is about 6772.5268548748. The cubic root of 45867120 is about 357.9594431965.

The spelling of 45867120 in words is "forty-five million, eight hundred sixty-seven thousand, one hundred twenty".