31642644 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 8834560.

The previous prime is 31642621. The next prime is 31642649. The reversal of 31642644 is 44624613.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31642649) 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 31 ways as a sum of consecutive naturals, for example, 132277 + ... + 132515.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^31642644 is an apocalyptic number.

31642644 is a gapful number since it is divisible by the number (34) 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 31642644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

31642644 is an abundant number, since it is smaller than the sum of its proper divisors (55448556).

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

31642644 is a wasteful number, since it uses less digits than its factorization.

31642644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 31642644 is about 5625.1794638038. The cubic root of 31642644 is about 316.2939768139.

The spelling of 31642644 in words is "thirty-one million, six hundred forty-two thousand, six hundred forty-four".