45653760 has 144 divisors (see below), whose sum is σ = 162130080. Its totient is φ = 12165120.

The previous prime is 45653753. The next prime is 45653761. The reversal of 45653760 is 6735654.

45653760 is a `hidden beast` number, since 4 + 565 + 37 + 60 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45653761) 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 15 ways as a sum of consecutive naturals, for example, 33900 + ... + 35220.

Almost surely, 2^45653760 is an apocalyptic number.

45653760 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 45653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81065040).

45653760 is an abundant number, since it is smaller than the sum of its proper divisors (116476320).

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

45653760 is a wasteful number, since it uses less digits than its factorization.

45653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 45653760 is about 6756.7566183784. The cubic root of 45653760 is about 357.4035405726.

The spelling of 45653760 in words is "forty-five million, six hundred fifty-three thousand, seven hundred sixty".