31077648 has 160 divisors (see below), whose sum is σ = 104755200. Its totient is φ = 8636544.

The previous prime is 31077637. The next prime is 31077659. The reversal of 31077648 is 84677013.

31077648 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 7 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (31077637) and next prime (31077659).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129913 + ... + 130151.

It is an arithmetic number, because the mean of its divisors is an integer number (654720).

Almost surely, 2^31077648 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 31077648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52377600).

31077648 is an abundant number, since it is smaller than the sum of its proper divisors (73677552).

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

31077648 is a wasteful number, since it uses less digits than its factorization.

31077648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

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

The square root of 31077648 is about 5574.7329980906. The cubic root of 31077648 is about 314.4001281976.

The spelling of 31077648 in words is "thirty-one million, seventy-seven thousand, six hundred forty-eight".