31128960 has 128 divisors (see below), whose sum is σ = 102620160. Its totient is φ = 8017920.

The previous prime is 31128953. The next prime is 31128961. The reversal of 31128960 is 6982113.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31128961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59259 + ... + 59781.

It is an arithmetic number, because the mean of its divisors is an integer number (801720).

Almost surely, 2^31128960 is an apocalyptic number.

31128960 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 31128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51310080).

31128960 is an abundant number, since it is smaller than the sum of its proper divisors (71491200).

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

31128960 is a wasteful number, since it uses less digits than its factorization.

31128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 31128960 is about 5579.3332935038. Note that the first 3 decimals coincide. The cubic root of 31128960 is about 314.5730673764.

The spelling of 31128960 in words is "thirty-one million, one hundred twenty-eight thousand, nine hundred sixty".