31419648 has 108 divisors (see below), whose sum is σ = 97652100. Its totient is φ = 9658368.

The previous prime is 31419637. The next prime is 31419649. The reversal of 31419648 is 84691413.

31419648 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 9 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 14379264 = 4128^2 + 3792^2 .

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 not an unprimeable number, because it can be changed into a prime (31419649) 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 11 ways as a sum of consecutive naturals, for example, 29428 + ... + 30476.

Almost surely, 2^31419648 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 31419648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48826050).

31419648 is an abundant number, since it is smaller than the sum of its proper divisors (66232452).

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

31419648 is a wasteful number, since it uses less digits than its factorization.

31419648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 31419648 is about 5605.3231842598. The cubic root of 31419648 is about 315.5492157102.

The spelling of 31419648 in words is "thirty-one million, four hundred nineteen thousand, six hundred forty-eight".