31653468 has 144 divisors (see below), whose sum is σ = 105181440. Its totient is φ = 7776000.

The previous prime is 31653443. The next prime is 31653469. The reversal of 31653468 is 86435613.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (51840) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31653469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52368 + ... + 52968.

Almost surely, 2^31653468 is an apocalyptic number.

31653468 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 31653468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590720).

31653468 is an abundant number, since it is smaller than the sum of its proper divisors (73527972).

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

31653468 is a wasteful number, since it uses less digits than its factorization.

31653468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 31653468 is about 5626.1414841790. The cubic root of 31653468 is about 316.3300375986.

It can be divided in two parts, 3 and 1653468, that added together give a triangular number (1653471 = T₁₈₁₈).

The spelling of 31653468 in words is "thirty-one million, six hundred fifty-three thousand, four hundred sixty-eight".