45220680 has 160 divisors (see below), whose sum is σ = 161128440. Its totient is φ = 11335680.

The previous prime is 45220667. The next prime is 45220687. The reversal of 45220680 is 8602254.

45220680 is a `hidden beast` number, since 452 + 206 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37234404 + 7986276 = 6102^2 + 2826^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45220687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54670 + ... + 55490.

Almost surely, 2^45220680 is an apocalyptic number.

45220680 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 45220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80564220).

45220680 is an abundant number, since it is smaller than the sum of its proper divisors (115907760).

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

45220680 is a wasteful number, since it uses less digits than its factorization.

45220680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45220680 is about 6724.6323319569. The cubic root of 45220680 is about 356.2698160722.

The spelling of 45220680 in words is "forty-five million, two hundred twenty thousand, six hundred eighty".