45552640 has 176 divisors, whose sum is σ = 132056064. Its totient is φ = 14745600.

The previous prime is 45552631. The next prime is 45552653. The reversal of 45552640 is 4625554.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111020 + ... + 1111060.

Almost surely, 2^45552640 is an apocalyptic number.

45552640 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 45552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66028032).

45552640 is an abundant number, since it is smaller than the sum of its proper divisors (86503424).

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

45552640 is a wasteful number, since it uses less digits than its factorization.

45552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 45552640 is about 6749.2695901112. The cubic root of 45552640 is about 357.1394705965.

The spelling of 45552640 in words is "forty-five million, five hundred fifty-two thousand, six hundred forty".