45710160 has 80 divisors (see below), whose sum is σ = 142413504. Its totient is φ = 12128256.

The previous prime is 45710153. The next prime is 45710237. The reversal of 45710160 is 6101754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45710160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67584 + ... + 68256.

Almost surely, 2^45710160 is an apocalyptic number.

45710160 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 45710160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71206752).

45710160 is an abundant number, since it is smaller than the sum of its proper divisors (96703344).

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

45710160 is a wasteful number, since it uses less digits than its factorization.

45710160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 45710160 is about 6760.9289302580. The cubic root of 45710160 is about 357.5506570758.

The spelling of 45710160 in words is "forty-five million, seven hundred ten thousand, one hundred sixty".