30146640 has 80 divisors (see below), whose sum is σ = 95083200. Its totient is φ = 7899136.

The previous prime is 30146617. The next prime is 30146647. The reversal of 30146640 is 4664103.

It is a tau number, because it is divible by the number of its divisors (80).

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 30146640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30146647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13096 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (1188540).

Almost surely, 2^30146640 is an apocalyptic number.

30146640 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 30146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47541600).

30146640 is an abundant number, since it is smaller than the sum of its proper divisors (64936560).

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

30146640 is a wasteful number, since it uses less digits than its factorization.

30146640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2198 counting only the distinct ones).

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

The square root of 30146640 is about 5490.5955961079. The cubic root of 30146640 is about 311.2286996923.

The spelling of 30146640 in words is "thirty million, one hundred forty-six thousand, six hundred forty".