31678016 has 56 divisors (see below), whose sum is σ = 67056000. Its totient is φ = 14805504.

The previous prime is 31677983. The next prime is 31678019. The reversal of 31678016 is 61087613.

It is a super-3 number, since 3×31678016³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31678019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132425 + ... + 132663.

Almost surely, 2^31678016 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 31678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33528000).

31678016 is an abundant number, since it is smaller than the sum of its proper divisors (35377984).

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

31678016 is a wasteful number, since it uses less digits than its factorization.

31678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 31678016 is about 5628.3226631031. The cubic root of 31678016 is about 316.4117902335.

The spelling of 31678016 in words is "thirty-one million, six hundred seventy-eight thousand, sixteen".