30840960 has 64 divisors (see below), whose sum is σ = 98311680. Its totient is φ = 8223744.

The previous prime is 30840947. The next prime is 30840991. The reversal of 30840960 is 6904803.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6112 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (1536120).

Almost surely, 2^30840960 is an apocalyptic number.

30840960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30840960 is an abundant number, since it is smaller than the sum of its proper divisors (67470720).

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

30840960 is a wasteful number, since it uses less digits than its factorization.

30840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16085 (or 16073 counting only the distinct ones).

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

The square root of 30840960 is about 5553.4637839820. The cubic root of 30840960 is about 313.5999340552.

The spelling of 30840960 in words is "thirty million, eight hundred forty thousand, nine hundred sixty".