45180768 has 48 divisors (see below), whose sum is σ = 119251440. Its totient is φ = 14977536.

The previous prime is 45180767. The next prime is 45180791. The reversal of 45180768 is 86708154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45180767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17718 + ... + 20106.

It is an arithmetic number, because the mean of its divisors is an integer number (2484405).

Almost surely, 2^45180768 is an apocalyptic number.

45180768 is a gapful number since it is divisible by the number (48) 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 45180768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59625720).

45180768 is an abundant number, since it is smaller than the sum of its proper divisors (74070672).

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

45180768 is a wasteful number, since it uses less digits than its factorization.

45180768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 45180768 is about 6721.6640796755. The cubic root of 45180768 is about 356.1649700421.

The spelling of 45180768 in words is "forty-five million, one hundred eighty thousand, seven hundred sixty-eight".