30464640 has 256 divisors, whose sum is σ = 113097600. Its totient is φ = 7741440.

The previous prime is 30464617. The next prime is 30464647. The reversal of 30464640 is 4646403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30464647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708459 + ... + 708501.

Almost surely, 2^30464640 is an apocalyptic number.

30464640 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 30464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

30464640 is an abundant number, since it is smaller than the sum of its proper divisors (82632960).

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

30464640 is a wasteful number, since it uses less digits than its factorization.

30464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30464640 is about 5519.4782362104. The cubic root of 30464640 is about 312.3191999498.

The spelling of 30464640 in words is "thirty million, four hundred sixty-four thousand, six hundred forty".