31998960 has 180 divisors, whose sum is σ = 125146008. Its totient is φ = 7305984.

The previous prime is 31998949. The next prime is 31998973. The reversal of 31998960 is 6989913.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34827 + ... + 35733.

Almost surely, 2^31998960 is an apocalyptic number.

31998960 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 31998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62573004).

31998960 is an abundant number, since it is smaller than the sum of its proper divisors (93147048).

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

31998960 is a wasteful number, since it uses less digits than its factorization.

31998960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 31998960 is about 5656.7623248639. The cubic root of 31998960 is about 317.4767709874.

It can be divided in two parts, 31 and 998960, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 31998960 in words is "thirty-one million, nine hundred ninety-eight thousand, nine hundred sixty".