45640 has 32 divisors (see below), whose sum is σ = 118080. Its totient is φ = 15552.

The previous prime is 45631. The next prime is 45641. The reversal of 45640 is 4654.

45640 = T₉ + T₁₀ + ... + T₆₄.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (3690).

2⁴⁵⁶⁴⁰ is an apocalyptic number.

45640 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 45640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59040).

45640 is an abundant number, since it is smaller than the sum of its proper divisors (72440).

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

45640 is a wasteful number, since it uses less digits than its factorization.

45640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45640 is about 213.6352030916. The cubic root of 45640 is about 35.7367629935.

It can be divided in two parts, 456 and 40, that added together give a triangular number (496 = T₃₁).

The spelling of 45640 in words is "forty-five thousand, six hundred forty".