30336768 has 360 divisors, whose sum is σ = 118715520. Its totient is φ = 7464960.

The previous prime is 30336743. The next prime is 30336773. The reversal of 30336768 is 86763303.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596663 + ... + 1596681.

Almost surely, 2^30336768 is an apocalyptic number.

30336768 is a gapful number since it is divisible by the number (38) 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 30336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357760).

30336768 is an abundant number, since it is smaller than the sum of its proper divisors (88378752).

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

30336768 is a wasteful number, since it uses less digits than its factorization.

30336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 30336768 is about 5507.8823516847. The cubic root of 30336768 is about 311.8816118882.

It can be divided in two parts, 3033 and 6768, that added together give a square (9801 = 99²).

The spelling of 30336768 in words is "thirty million, three hundred thirty-six thousand, seven hundred sixty-eight".