31632480 has 144 divisors (see below), whose sum is σ = 117818064. Its totient is φ = 7664640.

The previous prime is 31632409. The next prime is 31632481. The reversal of 31632480 is 8423613.

It is a happy number.

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

It is a super-2 number, since 2×31632480² = 2001227581900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31632481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14842 + ... + 16838.

It is an arithmetic number, because the mean of its divisors is an integer number (818181).

Almost surely, 2^31632480 is an apocalyptic number.

31632480 is a gapful number since it is divisible by the number (30) 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 31632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58909032).

31632480 is an abundant number, since it is smaller than the sum of its proper divisors (86185584).

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

31632480 is a wasteful number, since it uses less digits than its factorization.

31632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31632480 is about 5624.2759534006. The cubic root of 31632480 is about 316.2601073702.

The spelling of 31632480 in words is "thirty-one million, six hundred thirty-two thousand, four hundred eighty".