31764000 has 96 divisors (see below), whose sum is σ = 104098176. Its totient is φ = 8467200.

The previous prime is 31763987. The next prime is 31764001. The reversal of 31764000 is 46713.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31764001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10677 + ... + 13323.

It is an arithmetic number, because the mean of its divisors is an integer number (1084356).

Almost surely, 2^31764000 is an apocalyptic number.

31764000 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 31764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52049088).

31764000 is an abundant number, since it is smaller than the sum of its proper divisors (72334176).

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

31764000 is a wasteful number, since it uses less digits than its factorization.

31764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 31764000 is about 5635.9559969893. The cubic root of 31764000 is about 316.6978116489.

The spelling of 31764000 in words is "thirty-one million, seven hundred sixty-four thousand".