45908640 has 96 divisors (see below), whose sum is σ = 160695360. Its totient is φ = 12241152.

The previous prime is 45908593. The next prime is 45908647. The reversal of 45908640 is 4680954.

45908640 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45908595 and 45908604.

It is not an unprimeable number, because it can be changed into a prime (45908647) 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, 994 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (1673910).

Almost surely, 2^45908640 is an apocalyptic number.

45908640 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 45908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80347680).

45908640 is an abundant number, since it is smaller than the sum of its proper divisors (114786720).

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

45908640 is a wasteful number, since it uses less digits than its factorization.

45908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10651 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45908640 is about 6775.5914870954. The cubic root of 45908640 is about 358.0674217347.

The spelling of 45908640 in words is "forty-five million, nine hundred eight thousand, six hundred forty".