31407960 has 64 divisors (see below), whose sum is σ = 97274880. Its totient is φ = 8104320.

The previous prime is 31407953. The next prime is 31407967. The reversal of 31407960 is 6970413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31407953) and next prime (31407967).

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31407967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502 + ... + 7941.

It is an arithmetic number, because the mean of its divisors is an integer number (1519920).

Almost surely, 2^31407960 is an apocalyptic number.

31407960 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 31407960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48637440).

31407960 is an abundant number, since it is smaller than the sum of its proper divisors (65866920).

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

31407960 is a wasteful number, since it uses less digits than its factorization.

31407960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 31407960 is about 5604.2805068983. The cubic root of 31407960 is about 315.5100831197.

The spelling of 31407960 in words is "thirty-one million, four hundred seven thousand, nine hundred sixty".