31408000 has 128 divisors (see below), whose sum is σ = 84651840. Its totient is φ = 11520000.

The previous prime is 31407997. The next prime is 31408033. The reversal of 31408000 is 80413.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 207925 + ... + 208075.

Almost surely, 2^31408000 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 31408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325920).

31408000 is an abundant number, since it is smaller than the sum of its proper divisors (53243840).

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

31408000 is a wasteful number, since it uses less digits than its factorization.

31408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 31408000 is about 5604.2840755979. The cubic root of 31408000 is about 315.5102170603.

Adding to 31408000 its reverse (80413), we get a palindrome (31488413).

The spelling of 31408000 in words is "thirty-one million, four hundred eight thousand".