30468096 has 192 divisors, whose sum is σ = 98280000. Its totient is φ = 9289728.

The previous prime is 30468089. The next prime is 30468101. The reversal of 30468096 is 69086403.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 30468096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050610 + ... + 1050638.

It is an arithmetic number, because the mean of its divisors is an integer number (511875).

Almost surely, 2^30468096 is an apocalyptic number.

30468096 is a gapful number since it is divisible by the number (36) 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 30468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140000).

30468096 is an abundant number, since it is smaller than the sum of its proper divisors (67811904).

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

30468096 is a wasteful number, since it uses less digits than its factorization.

30468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 30468096 is about 5519.7913004026. The cubic root of 30468096 is about 312.3310096450.

The spelling of 30468096 in words is "thirty million, four hundred sixty-eight thousand, ninety-six".