30976000 has 144 divisors (see below), whose sum is σ = 84963060. Its totient is φ = 11264000.

The previous prime is 30975991. The next prime is 30976007. The reversal of 30976000 is 67903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 10036224 = 4576^2 + 3168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (30976007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2815995 + ... + 2816005.

Almost surely, 2^30976000 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 30976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42481530).

30976000 is an abundant number, since it is smaller than the sum of its proper divisors (53987060).

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

30976000 is an equidigital number, since it uses as much as digits as its factorization.

30976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 30976000 is about 5565.6086818963. The cubic root of 30976000 is about 314.0569764216.

The spelling of 30976000 in words is "thirty million, nine hundred seventy-six thousand".