931406112 has 216 divisors, whose sum is σ = 3318787836. Its totient is φ = 245597184.

The previous prime is 931406089. The next prime is 931406123. The reversal of 931406112 is 211604139.

931406112 is a `hidden beast` number, since 9 + 3 + 1 + 40 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 11861136 = 30324^2 + 3444^2 .

It is a super-3 number, since 3×931406112³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 180918 + ... + 185994.

Almost surely, 2^931406112 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 931406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659393918).

931406112 is an abundant number, since it is smaller than the sum of its proper divisors (2387381724).

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

931406112 is a wasteful number, since it uses less digits than its factorization.

931406112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 931406112 is about 30518.9467708176. The cubic root of 931406112 is about 976.5916975592.

The spelling of 931406112 in words is "nine hundred thirty-one million, four hundred six thousand, one hundred twelve".