45836560 has 120 divisors (see below), whose sum is σ = 135366336. Its totient is φ = 14273280.

The previous prime is 45836533. The next prime is 45836561. The reversal of 45836560 is 6563854.

It is not an unprimeable number, because it can be changed into a prime (45836561) 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, 42589 + ... + 43651.

Almost surely, 2^45836560 is an apocalyptic number.

45836560 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 45836560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67683168).

45836560 is an abundant number, since it is smaller than the sum of its proper divisors (89529776).

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

45836560 is a wasteful number, since it uses less digits than its factorization.

45836560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 45836560 is about 6770.2703047958. The cubic root of 45836560 is about 357.8799260246.

The spelling of 45836560 in words is "forty-five million, eight hundred thirty-six thousand, five hundred sixty".