31073040 has 120 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 8186112.

The previous prime is 31073027. The next prime is 31073041. The reversal of 31073040 is 4037013.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31073041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73951 + ... + 74369.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^31073040 is an apocalyptic number.

31073040 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 31073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

31073040 is an abundant number, since it is smaller than the sum of its proper divisors (74545200).

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

31073040 is a wasteful number, since it uses less digits than its factorization.

31073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 31073040 is about 5574.3196894330. The cubic root of 31073040 is about 314.3845883322.

The spelling of 31073040 in words is "thirty-one million, seventy-three thousand, forty".