31668000 has 384 divisors, whose sum is σ = 132088320. Its totient is φ = 6451200.

The previous prime is 31667981. The next prime is 31668001. The reversal of 31668000 is 86613.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31668001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091986 + ... + 1092014.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 2^31668000 is an apocalyptic number.

31668000 is a gapful number since it is divisible by the number (30) 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 31668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

31668000 is an abundant number, since it is smaller than the sum of its proper divisors (100420320).

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

31668000 is a wasteful number, since it uses less digits than its factorization.

31668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31668000 is about 5627.4328072399. The cubic root of 31668000 is about 316.3784388755.

31668000 divided by its sum of digits (24) gives a triangular number (1319500 = T₁₆₂₄).

The spelling of 31668000 in words is "thirty-one million, six hundred sixty-eight thousand".