31144960 has 176 divisors, whose sum is σ = 94325760. Its totient is φ = 9584640.

The previous prime is 31144957. The next prime is 31144961. The reversal of 31144960 is 6944113.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144961) 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 15 ways as a sum of consecutive naturals, for example, 394201 + ... + 394279.

Almost surely, 2^31144960 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 31144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47162880).

31144960 is an abundant number, since it is smaller than the sum of its proper divisors (63180800).

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

31144960 is a wasteful number, since it uses less digits than its factorization.

31144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 31144960 is about 5580.7669723793. The cubic root of 31144960 is about 314.6269540358.

It can be divided in two parts, 31 and 144960, that added together give a triangular number (144991 = T₅₃₈).

The spelling of 31144960 in words is "thirty-one million, one hundred forty-four thousand, nine hundred sixty".