31406000 has 80 divisors (see below), whose sum is σ = 77995008. Its totient is φ = 12224000.

The previous prime is 31405999. The next prime is 31406029. The reversal of 31406000 is 60413.

It is a tau number, because it is divible by the number of its divisors (80).

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, 81809 + ... + 82191.

Almost surely, 2^31406000 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 31406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38997504).

31406000 is an abundant number, since it is smaller than the sum of its proper divisors (46589008).

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

31406000 is a wasteful number, since it uses less digits than its factorization.

31406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 31406000 is about 5604.1056378337. The cubic root of 31406000 is about 315.5035198936.

Adding to 31406000 its reverse (60413), we get a palindrome (31466413).

The spelling of 31406000 in words is "thirty-one million, four hundred six thousand".