45760640 has 64 divisors (see below), whose sum is σ = 110453760. Its totient is φ = 18127872.

The previous prime is 45760621. The next prime is 45760661. The reversal of 45760640 is 4606754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 45760597 and 45760606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80999 + ... + 81561.

It is an arithmetic number, because the mean of its divisors is an integer number (1725840).

Almost surely, 2^45760640 is an apocalyptic number.

45760640 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 45760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55226880).

45760640 is an abundant number, since it is smaller than the sum of its proper divisors (64693120).

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

45760640 is a wasteful number, since it uses less digits than its factorization.

45760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 45760640 is about 6764.6611149414. The cubic root of 45760640 is about 357.6822289703.

The spelling of 45760640 in words is "forty-five million, seven hundred sixty thousand, six hundred forty".