30752640 has 192 divisors, whose sum is σ = 112179600. Its totient is φ = 7741440.

The previous prime is 30752599. The next prime is 30752641. The reversal of 30752640 is 4625703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30752641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109300 + ... + 109580.

Almost surely, 2^30752640 is an apocalyptic number.

30752640 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 30752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56089800).

30752640 is an abundant number, since it is smaller than the sum of its proper divisors (81426960).

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

30752640 is a wasteful number, since it uses less digits than its factorization.

30752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 30752640 is about 5545.5062888793. The cubic root of 30752640 is about 313.3002932819.

The spelling of 30752640 in words is "thirty million, seven hundred fifty-two thousand, six hundred forty".