45632080 has 160 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 15138816.

The previous prime is 45632047. The next prime is 45632089. The reversal of 45632080 is 8023654.

It can be written as a sum of positive squares in 16 ways, for example, as 17372224 + 28259856 = 4168^2 + 5316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45632089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512676 + ... + 512764.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 2^45632080 is an apocalyptic number.

45632080 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 45632080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).

45632080 is an abundant number, since it is smaller than the sum of its proper divisors (80922320).

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

45632080 is a wasteful number, since it uses less digits than its factorization.

45632080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45632080 is about 6755.1521078359. The cubic root of 45632080 is about 357.3469571673.

The spelling of 45632080 in words is "forty-five million, six hundred thirty-two thousand, eighty".