45937080 has 96 divisors (see below), whose sum is σ = 170632800. Its totient is φ = 10499328.

The previous prime is 45937063. The next prime is 45937081. The reversal of 45937080 is 8073954.

It is a super-2 number, since 2×45937080² = 4220430637852800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45937081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6595 + ... + 11634.

It is an arithmetic number, because the mean of its divisors is an integer number (1777425).

Almost surely, 2^45937080 is an apocalyptic number.

45937080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45937080 is an abundant number, since it is smaller than the sum of its proper divisors (124695720).

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

45937080 is a wasteful number, since it uses less digits than its factorization.

45937080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45937080 is about 6777.6898719254. The cubic root of 45937080 is about 358.1413463478.

The spelling of 45937080 in words is "forty-five million, nine hundred thirty-seven thousand, eighty".