45872640 has 240 divisors, whose sum is σ = 174270096. Its totient is φ = 11059200.

The previous prime is 45872633. The next prime is 45872683. The reversal of 45872640 is 4627854.

45872640 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 2 + 640 = 666.

45872640 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 (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 45872595 and 45872604.

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 23 ways as a sum of consecutive naturals, for example, 253350 + ... + 253530.

Almost surely, 2^45872640 is an apocalyptic number.

45872640 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 45872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87135048).

45872640 is an abundant number, since it is smaller than the sum of its proper divisors (128397456).

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

45872640 is a wasteful number, since it uses less digits than its factorization.

45872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45872640 is about 6772.9343714523. The cubic root of 45872640 is about 357.9738024794.

It can be divided in two parts, 4587 and 2640, that added together give a palindrome (7227).

The spelling of 45872640 in words is "forty-five million, eight hundred seventy-two thousand, six hundred forty".