31836480 has 112 divisors (see below), whose sum is σ = 108898944. Its totient is φ = 7833600.

The previous prime is 31836463. The next prime is 31836481. The reversal of 31836480 is 8463813.

It is a super-2 number, since 2×31836480² = 2027122917580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31836481) 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 15 ways as a sum of consecutive naturals, for example, 11205 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (972312).

Almost surely, 2^31836480 is an apocalyptic number.

31836480 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 31836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54449472).

31836480 is an abundant number, since it is smaller than the sum of its proper divisors (77062464).

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

31836480 is a wasteful number, since it uses less digits than its factorization.

31836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 31836480 is about 5642.3824755151. The cubic root of 31836480 is about 316.9385120253.

The spelling of 31836480 in words is "thirty-one million, eight hundred thirty-six thousand, four hundred eighty".