45940560 has 80 divisors (see below), whose sum is σ = 144591936. Its totient is φ = 12063744.

The previous prime is 45940523. The next prime is 45940567. The reversal of 45940560 is 6504954.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45940560² = 4221070106227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45940567) 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, 14652 + ... + 17508.

Almost surely, 2^45940560 is an apocalyptic number.

45940560 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 45940560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72295968).

45940560 is an abundant number, since it is smaller than the sum of its proper divisors (98651376).

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

45940560 is a wasteful number, since it uses less digits than its factorization.

45940560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 45940560 is about 6777.9465917046. The cubic root of 45940560 is about 358.1503898802.

The spelling of 45940560 in words is "forty-five million, nine hundred forty thousand, five hundred sixty".