31054968 has 256 divisors, whose sum is σ = 110592000. Its totient is φ = 7869312.

The previous prime is 31054957. The next prime is 31054981. The reversal of 31054968 is 86945013.

It is a super-2 number, since 2×31054968² = 1928822074962048, 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660721 + ... + 660767.

It is an arithmetic number, because the mean of its divisors is an integer number (432000).

Almost surely, 2^31054968 is an apocalyptic number.

31054968 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 31054968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

31054968 is an abundant number, since it is smaller than the sum of its proper divisors (79537032).

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

31054968 is a wasteful number, since it uses less digits than its factorization.

31054968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

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

The square root of 31054968 is about 5572.6984486871. The cubic root of 31054968 is about 314.3236280904.

It can be divided in two parts, 310 and 54968, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 31054968 in words is "thirty-one million, fifty-four thousand, nine hundred sixty-eight".