30164640 has 192 divisors, whose sum is σ = 107775360. Its totient is φ = 7024640.

The previous prime is 30164627. The next prime is 30164653. The reversal of 30164640 is 4646103.

It is an interprime number because it is at equal distance from previous prime (30164627) and next prime (30164653).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30164640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153022 + ... + 153218.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 2^30164640 is an apocalyptic number.

30164640 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 30164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

30164640 is an abundant number, since it is smaller than the sum of its proper divisors (77610720).

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

30164640 is a wasteful number, since it uses less digits than its factorization.

30164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 30164640 is about 5492.2345179353. The cubic root of 30164640 is about 311.2906303308.

The spelling of 30164640 in words is "thirty million, one hundred sixty-four thousand, six hundred forty".