45631120 has 20 divisors (see below), whose sum is σ = 106092540. Its totient is φ = 18252416.

The previous prime is 45631109. The next prime is 45631129. The reversal of 45631120 is 2113654.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 30514576 = 3888^2 + 5524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×45631120² = 4164398224908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45631091 and 45631100.

It is not an unprimeable number, because it can be changed into a prime (45631129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 285115 + ... + 285274.

It is an arithmetic number, because the mean of its divisors is an integer number (5304627).

Almost surely, 2^45631120 is an apocalyptic number.

45631120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45631120 is an abundant number, since it is smaller than the sum of its proper divisors (60461420).

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

45631120 is a wasteful number, since it uses less digits than its factorization.

45631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570402 (or 570396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45631120 is about 6755.0810505870. The cubic root of 45631120 is about 357.3444512147.

Adding to 45631120 its reverse (2113654), we get a palindrome (47744774).

The spelling of 45631120 in words is "forty-five million, six hundred thirty-one thousand, one hundred twenty".