31344160 has 48 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 12467968.

The previous prime is 31344151. The next prime is 31344169. The reversal of 31344160 is 6144313.

It is an interprime number because it is at equal distance from previous prime (31344151) and next prime (31344169).

It is a super-2 number, since 2×31344160² = 1964912732211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344169) 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 7 ways as a sum of consecutive naturals, for example, 35889 + ... + 36751.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^31344160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

31344160 is an abundant number, since it is smaller than the sum of its proper divisors (43118816).

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

31344160 is a wasteful number, since it uses less digits than its factorization.

31344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 31344160 is about 5598.5855356509. The cubic root of 31344160 is about 315.2963030394.

Adding to 31344160 its reverse (6144313), we get a palindrome (37488473).

The spelling of 31344160 in words is "thirty-one million, three hundred forty-four thousand, one hundred sixty".