45612840 has 128 divisors (see below), whose sum is σ = 168456960. Its totient is φ = 9621504.

The previous prime is 45612821. The next prime is 45612857. The reversal of 45612840 is 4821654.

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

It is a junction number, because it is equal to n+sod(n) for n = 45612798 and 45612807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8832 + ... + 13008.

It is an arithmetic number, because the mean of its divisors is an integer number (1316070).

Almost surely, 2^45612840 is an apocalyptic number.

45612840 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 45612840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84228480).

45612840 is an abundant number, since it is smaller than the sum of its proper divisors (122844120).

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

45612840 is a wasteful number, since it uses less digits than its factorization.

45612840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45612840 is about 6753.7278594862. The cubic root of 45612840 is about 357.2967269931.

The spelling of 45612840 in words is "forty-five million, six hundred twelve thousand, eight hundred forty".