30768192 has 168 divisors, whose sum is σ = 108728256. Its totient is φ = 8100864.

The previous prime is 30768187. The next prime is 30768233. The reversal of 30768192 is 29186703.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 52123 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (647192).

Almost surely, 2^30768192 is an apocalyptic number.

30768192 is a gapful number since it is divisible by the number (32) 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 30768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54364128).

30768192 is an abundant number, since it is smaller than the sum of its proper divisors (77960064).

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

30768192 is a wasteful number, since it uses less digits than its factorization.

30768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30768192 is about 5546.9083280689. The cubic root of 30768192 is about 313.3530976920.

The spelling of 30768192 in words is "thirty million, seven hundred sixty-eight thousand, one hundred ninety-two".