45620640 has 144 divisors (see below), whose sum is σ = 167724648. Its totient is φ = 11225088.

The previous prime is 45620633. The next prime is 45620647. The reversal of 45620640 is 4602654.

It is a happy number.

45620640 is a `hidden beast` number, since 456 + 206 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45620633) and next prime (45620647).

It can be written as a sum of positive squares in 4 ways, for example, as 39087504 + 6533136 = 6252^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (45620647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17502 + ... + 19938.

Almost surely, 2^45620640 is an apocalyptic number.

45620640 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 45620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83862324).

45620640 is an abundant number, since it is smaller than the sum of its proper divisors (122104008).

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

45620640 is a wasteful number, since it uses less digits than its factorization.

45620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45620640 is about 6754.3052936627. The cubic root of 45620640 is about 357.3170922793.

The spelling of 45620640 in words is "forty-five million, six hundred twenty thousand, six hundred forty".