45088736 has 96 divisors (see below), whose sum is σ = 114670080. Its totient is φ = 16934400.

The previous prime is 45088733. The next prime is 45088739. The reversal of 45088736 is 63788054.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45088733) and next prime (45088739).

It is a super-2 number, since 2×45088736² = 4065988228155392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45088693 and 45088702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45088733) 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, 71141 + ... + 71771.

It is an arithmetic number, because the mean of its divisors is an integer number (1194480).

Almost surely, 2^45088736 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 45088736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335040).

45088736 is an abundant number, since it is smaller than the sum of its proper divisors (69581344).

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

45088736 is a wasteful number, since it uses less digits than its factorization.

45088736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 45088736 is about 6714.8146660947. The cubic root of 45088736 is about 355.9229728565.

The spelling of 45088736 in words is "forty-five million, eighty-eight thousand, seven hundred thirty-six".