45824688 has 180 divisors, whose sum is σ = 159297840. Its totient is φ = 12040704.

The previous prime is 45824687. The next prime is 45824693. The reversal of 45824688 is 88642854.

45824688 is a `hidden beast` number, since 4 + 582 + 4 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45824683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170218 + ... + 170486.

It is an arithmetic number, because the mean of its divisors is an integer number (884988).

Almost surely, 2^45824688 is an apocalyptic number.

45824688 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 45824688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79648920).

45824688 is an abundant number, since it is smaller than the sum of its proper divisors (113473152).

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

45824688 is a wasteful number, since it uses less digits than its factorization.

45824688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 45824688 is about 6769.3934735691. The cubic root of 45824688 is about 357.8490255284.

The spelling of 45824688 in words is "forty-five million, eight hundred twenty-four thousand, six hundred eighty-eight".