31772664 has 144 divisors (see below), whose sum is σ = 108304560. Its totient is φ = 8236800.

The previous prime is 31772647. The next prime is 31772701. The reversal of 31772664 is 46627713.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60724 + ... + 61244.

It is an arithmetic number, because the mean of its divisors is an integer number (752115).

Almost surely, 2^31772664 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 31772664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54152280).

31772664 is an abundant number, since it is smaller than the sum of its proper divisors (76531896).

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

31772664 is a wasteful number, since it uses less digits than its factorization.

31772664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 544 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 31772664 is about 5636.7245808182. The cubic root of 31772664 is about 316.7266033671.

The spelling of 31772664 in words is "thirty-one million, seven hundred seventy-two thousand, six hundred sixty-four".