45095760 has 60 divisors (see below), whose sum is σ = 151449012. Its totient is φ = 12025344.

The previous prime is 45095753. The next prime is 45095761. The reversal of 45095760 is 6759054.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 32901696 = 3492^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (45095761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30597 + ... + 32036.

Almost surely, 2^45095760 is an apocalyptic number.

45095760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45095760 is an abundant number, since it is smaller than the sum of its proper divisors (106353252).

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

45095760 is a wasteful number, since it uses less digits than its factorization.

45095760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62652 (or 62643 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45095760 is about 6715.3376683529. The cubic root of 45095760 is about 355.9414539923.

The spelling of 45095760 in words is "forty-five million, ninety-five thousand, seven hundred sixty".