31794672 has 160 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 8064000.

The previous prime is 31794667. The next prime is 31794677. The reversal of 31794672 is 27649713.

It is an interprime number because it is at equal distance from previous prime (31794667) and next prime (31794677).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 31794672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31794677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126547 + ... + 126797.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^31794672 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 31794672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

31794672 is an abundant number, since it is smaller than the sum of its proper divisors (73198608).

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

31794672 is a wasteful number, since it uses less digits than its factorization.

31794672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 31794672 is about 5638.6764404424. The cubic root of 31794672 is about 316.7997155900.

The spelling of 31794672 in words is "thirty-one million, seven hundred ninety-four thousand, six hundred seventy-two".