30392640 has 168 divisors, whose sum is σ = 106865928. Its totient is φ = 7925760.

The previous prime is 30392639. The next prime is 30392653. The reversal of 30392640 is 4629303.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 28387584 = 1416^2 + 5328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175594 + ... + 175766.

Almost surely, 2^30392640 is an apocalyptic number.

30392640 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 30392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53432964).

30392640 is an abundant number, since it is smaller than the sum of its proper divisors (76473288).

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

30392640 is a wasteful number, since it uses less digits than its factorization.

30392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30392640 is about 5512.9520222835. The cubic root of 30392640 is about 312.0729612404.

The spelling of 30392640 in words is "thirty million, three hundred ninety-two thousand, six hundred forty".