31225968 has 120 divisors (see below), whose sum is σ = 93721680. Its totient is φ = 9676800.

The previous prime is 31225967. The next prime is 31226003. The reversal of 31225968 is 86952213.

It is a super-2 number, since 2×31225968² = 1950122155074048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31225963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276280 + ... + 276392.

It is an arithmetic number, because the mean of its divisors is an integer number (781014).

Almost surely, 2^31225968 is an apocalyptic number.

31225968 is a gapful number since it is divisible by the number (38) 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 31225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46860840).

31225968 is an abundant number, since it is smaller than the sum of its proper divisors (62495712).

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

31225968 is a wasteful number, since it uses less digits than its factorization.

31225968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 31225968 is about 5588.0200429132. The cubic root of 31225968 is about 314.8994993068.

The spelling of 31225968 in words is "thirty-one million, two hundred twenty-five thousand, nine hundred sixty-eight".