45878688 has 72 divisors (see below), whose sum is σ = 131207076. Its totient is φ = 15206400.

The previous prime is 45878683. The next prime is 45878717. The reversal of 45878688 is 88687854.

It can be written as a sum of positive squares in 2 ways, for example, as 42146064 + 3732624 = 6492^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45878683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 69078 + ... + 69738.

Almost surely, 2^45878688 is an apocalyptic number.

45878688 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 45878688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65603538).

45878688 is an abundant number, since it is smaller than the sum of its proper divisors (85328388).

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

45878688 is a wasteful number, since it uses less digits than its factorization.

45878688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 907 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 45878688 is about 6773.3808397284. The cubic root of 45878688 is about 357.9895339366.

The spelling of 45878688 in words is "forty-five million, eight hundred seventy-eight thousand, six hundred eighty-eight".