31848960 has 320 divisors, whose sum is σ = 123742080. Its totient is φ = 6881280.

The previous prime is 31848953. The next prime is 31848961. The reversal of 31848960 is 6984813.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 580 × 572 × 96.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31848961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098226 + ... + 1098254.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^31848960 is an apocalyptic number.

31848960 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 31848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

31848960 is an abundant number, since it is smaller than the sum of its proper divisors (91893120).

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

31848960 is a wasteful number, since it uses less digits than its factorization.

31848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 31848960 is about 5643.4882829683. The cubic root of 31848960 is about 316.9799202452.

The spelling of 31848960 in words is "thirty-one million, eight hundred forty-eight thousand, nine hundred sixty".