45660160 has 192 divisors, whose sum is σ = 137592000. Its totient is φ = 14450688.

The previous prime is 45660107. The next prime is 45660169. The reversal of 45660160 is 6106654.

It is a super-2 number, since 2×45660160² = 4169700422451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45660169) 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, 3512314 + ... + 3512326.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^45660160 is an apocalyptic number.

45660160 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 45660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

45660160 is an abundant number, since it is smaller than the sum of its proper divisors (91931840).

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

45660160 is an equidigital number, since it uses as much as digits as its factorization.

45660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 45660160 is about 6757.2302017913. The cubic root of 45660160 is about 357.4202407362.

The spelling of 45660160 in words is "forty-five million, six hundred sixty thousand, one hundred sixty".