31468416 has 128 divisors (see below), whose sum is σ = 99878400. Its totient is φ = 8583168.

The previous prime is 31468403. The next prime is 31468447. The reversal of 31468416 is 61486413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31468416² = 1980522411098112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61570 + ... + 62078.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^31468416 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 31468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939200).

31468416 is an abundant number, since it is smaller than the sum of its proper divisors (68409984).

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

31468416 is a wasteful number, since it uses less digits than its factorization.

31468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 31468416 is about 5609.6716481448. The cubic root of 31468416 is about 315.7123911978.

The spelling of 31468416 in words is "thirty-one million, four hundred sixty-eight thousand, four hundred sixteen".