30056832 has 160 divisors (see below), whose sum is σ = 96761280. Its totient is φ = 9206784.

The previous prime is 30056821. The next prime is 30056849. The reversal of 30056832 is 23865003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30056796 and 30056805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134673 + ... + 134895.

It is an arithmetic number, because the mean of its divisors is an integer number (604758).

Almost surely, 2^30056832 is an apocalyptic number.

30056832 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 30056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48380640).

30056832 is an abundant number, since it is smaller than the sum of its proper divisors (66704448).

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

30056832 is a wasteful number, since it uses less digits than its factorization.

30056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30056832 is about 5482.4111483908. The cubic root of 30056832 is about 310.9193382000.

The spelling of 30056832 in words is "thirty million, fifty-six thousand, eight hundred thirty-two".