31740768 has 96 divisors (see below), whose sum is σ = 98068320. Its totient is φ = 9953280.

The previous prime is 31740767. The next prime is 31740791. The reversal of 31740768 is 86704713.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31740767) 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, 13608 + ... + 15768.

It is an arithmetic number, because the mean of its divisors is an integer number (1021545).

Almost surely, 2^31740768 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 31740768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49034160).

31740768 is an abundant number, since it is smaller than the sum of its proper divisors (66327552).

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

31740768 is a wasteful number, since it uses less digits than its factorization.

31740768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 31740768 is about 5633.8945677036. The cubic root of 31740768 is about 316.6205825212.

The spelling of 31740768 in words is "thirty-one million, seven hundred forty thousand, seven hundred sixty-eight".