31465040 has 80 divisors (see below), whose sum is σ = 76776336. Its totient is φ = 11980800.

The previous prime is 31465039. The next prime is 31465061. The reversal of 31465040 is 4056413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9412624 + 22052416 = 3068^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 31464997 and 31465015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173750 + ... + 173930.

Almost surely, 2^31465040 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 31465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38388168).

31465040 is an abundant number, since it is smaller than the sum of its proper divisors (45311296).

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

31465040 is a wasteful number, since it uses less digits than its factorization.

31465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 31465040 is about 5609.3707311961. The cubic root of 31465040 is about 315.7011006904.

The spelling of 31465040 in words is "thirty-one million, four hundred sixty-five thousand, forty".