45031680 has 144 divisors (see below), whose sum is σ = 159922560. Its totient is φ = 11999232.

The previous prime is 45031669. The next prime is 45031697. The reversal of 45031680 is 8613054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33909 + ... + 35211.

Almost surely, 2^45031680 is an apocalyptic number.

45031680 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 45031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79961280).

45031680 is an abundant number, since it is smaller than the sum of its proper divisors (114890880).

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

45031680 is a wasteful number, since it uses less digits than its factorization.

45031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45031680 is about 6710.5648048432. The cubic root of 45031680 is about 355.7727792990.

The spelling of 45031680 in words is "forty-five million, thirty-one thousand, six hundred eighty".