30656400 has 120 divisors (see below), whose sum is σ = 100097760. Its totient is φ = 8017920.

The previous prime is 30656399. The next prime is 30656413. The reversal of 30656400 is 465603.

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70584 + ... + 71016.

It is an arithmetic number, because the mean of its divisors is an integer number (834148).

Almost surely, 2^30656400 is an apocalyptic number.

30656400 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 30656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50048880).

30656400 is an abundant number, since it is smaller than the sum of its proper divisors (69441360).

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

30656400 is a wasteful number, since it uses less digits than its factorization.

30656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30656400 is about 5536.8221932802. The cubic root of 30656400 is about 312.9731286495.

The spelling of 30656400 in words is "thirty million, six hundred fifty-six thousand, four hundred".