30968400 has 120 divisors (see below), whose sum is σ = 100466784. Its totient is φ = 8153600.

The previous prime is 30968393. The next prime is 30968437. The reversal of 30968400 is 486903.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157102 + ... + 157298.

Almost surely, 2^30968400 is an apocalyptic number.

30968400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50233392).

30968400 is an abundant number, since it is smaller than the sum of its proper divisors (69498384).

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

30968400 is a wasteful number, since it uses less digits than its factorization.

30968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 30968400 is about 5564.9258755171. The cubic root of 30968400 is about 314.0312895645.

The spelling of 30968400 in words is "thirty million, nine hundred sixty-eight thousand, four hundred".