30740640 has 144 divisors (see below), whose sum is σ = 112728672. Its totient is φ = 7021056.

The previous prime is 30740639. The next prime is 30740707. The reversal of 30740640 is 4604703.

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 30740640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22867 + ... + 24173.

It is an arithmetic number, because the mean of its divisors is an integer number (782838).

Almost surely, 2^30740640 is an apocalyptic number.

30740640 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 30740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56364336).

30740640 is an abundant number, since it is smaller than the sum of its proper divisors (81988032).

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

30740640 is a wasteful number, since it uses less digits than its factorization.

30740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30740640 is about 5544.4242261934. The cubic root of 30740640 is about 313.2595369692.

The spelling of 30740640 in words is "thirty million, seven hundred forty thousand, six hundred forty".