45126576 has 120 divisors (see below), whose sum is σ = 142371840. Its totient is φ = 13219200.

The previous prime is 45126559. The next prime is 45126589. The reversal of 45126576 is 67562154.

It is a happy number.

It is a super-2 number, since 2×45126576² = 4072815722967552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45126576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48645 + ... + 49563.

It is an arithmetic number, because the mean of its divisors is an integer number (1186432).

Almost surely, 2^45126576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45126576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71185920).

45126576 is an abundant number, since it is smaller than the sum of its proper divisors (97245264).

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

45126576 is a wasteful number, since it uses less digits than its factorization.

45126576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45126576 is about 6717.6317255414. The cubic root of 45126576 is about 356.0225125687.

It can be divided in two parts, 45 and 126576, that added together give a palindrome (126621).

The spelling of 45126576 in words is "forty-five million, one hundred twenty-six thousand, five hundred seventy-six".