31290672 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 8549376.

The previous prime is 31290671. The next prime is 31290697. The reversal of 31290672 is 27609213.

It is a super-3 number, since 3×31290672³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31290671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5704 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 2^31290672 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 31290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

31290672 is an abundant number, since it is smaller than the sum of its proper divisors (65131728).

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

31290672 is a wasteful number, since it uses less digits than its factorization.

31290672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 4084 counting only the distinct ones).

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

The square root of 31290672 is about 5593.8065751329. The cubic root of 31290672 is about 315.1168525905.

Adding to 31290672 its reverse (27609213), we get a palindrome (58899885).

It can be divided in two parts, 31 and 290672, that added together give a triangular number (290703 = T₇₆₂).

The spelling of 31290672 in words is "thirty-one million, two hundred ninety thousand, six hundred seventy-two".