45016960 has 64 divisors (see below), whose sum is σ = 111139200. Its totient is φ = 17418240.

The previous prime is 45016943. The next prime is 45016973. The reversal of 45016960 is 6961054.

45016960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18706 + ... + 20974.

It is an arithmetic number, because the mean of its divisors is an integer number (1736550).

Almost surely, 2^45016960 is an apocalyptic number.

45016960 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 45016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55569600).

45016960 is an abundant number, since it is smaller than the sum of its proper divisors (66122240).

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

45016960 is a wasteful number, since it uses less digits than its factorization.

45016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 45016960 is about 6709.4679371765. The cubic root of 45016960 is about 355.7340099553.

The spelling of 45016960 in words is "forty-five million, sixteen thousand, nine hundred sixty".