45767160 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 11802240.

The previous prime is 45767153. The next prime is 45767167. The reversal of 45767160 is 6176754.

It is an interprime number because it is at equal distance from previous prime (45767153) and next prime (45767167).

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 (45767167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32797 + ... + 34163.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^45767160 is an apocalyptic number.

45767160 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 45767160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

45767160 is an abundant number, since it is smaller than the sum of its proper divisors (111826440).

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

45767160 is a wasteful number, since it uses less digits than its factorization.

45767160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45767160 is about 6765.1430140094. The cubic root of 45767160 is about 357.6992157475.

The spelling of 45767160 in words is "forty-five million, seven hundred sixty-seven thousand, one hundred sixty".