31768416 has 96 divisors (see below), whose sum is σ = 93985920. Its totient is φ = 10438272.

The previous prime is 31768411. The next prime is 31768433. The reversal of 31768416 is 61486713.

It is a tau number, because it is divible by the number of its divisors (96).

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 (31768411) 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, 71491 + ... + 71933.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 2^31768416 is an apocalyptic number.

31768416 is a gapful number since it is divisible by the number (36) 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 31768416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46992960).

31768416 is an abundant number, since it is smaller than the sum of its proper divisors (62217504).

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

31768416 is a wasteful number, since it uses less digits than its factorization.

31768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 31768416 is about 5636.3477536433. The cubic root of 31768416 is about 316.7124873062.

31768416 divided by its sum of digits (36) gives a triangular number (882456 = T₁₃₂₈).

The spelling of 31768416 in words is "thirty-one million, seven hundred sixty-eight thousand, four hundred sixteen".