45553640 has 64 divisors (see below), whose sum is σ = 117720000. Its totient is φ = 15690240.

The previous prime is 45553633. The next prime is 45553643. The reversal of 45553640 is 4635554.

It is a junction number, because it is equal to n+sod(n) for n = 45553597 and 45553606.

It is not an unprimeable number, because it can be changed into a prime (45553643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5636 + ... + 11084.

It is an arithmetic number, because the mean of its divisors is an integer number (1839375).

Almost surely, 2^45553640 is an apocalyptic number.

45553640 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 45553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58860000).

45553640 is an abundant number, since it is smaller than the sum of its proper divisors (72166360).

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

45553640 is a wasteful number, since it uses less digits than its factorization.

45553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 45553640 is about 6749.3436717951. The cubic root of 45553640 is about 357.1420839602.

The spelling of 45553640 in words is "forty-five million, five hundred fifty-three thousand, six hundred forty".