31305040 has 80 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 11174400.

The previous prime is 31305037. The next prime is 31305059. The reversal of 31305040 is 4050313.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 31755 + ... + 32725.

Almost surely, 2^31305040 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 31305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

31305040 is an abundant number, since it is smaller than the sum of its proper divisors (49689776).

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

31305040 is a wasteful number, since it uses less digits than its factorization.

31305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 31305040 is about 5595.0907052522. The cubic root of 31305040 is about 315.1650768251.

Adding to 31305040 its reverse (4050313), we get a palindrome (35355353).

The spelling of 31305040 in words is "thirty-one million, three hundred five thousand, forty".