30906756 has 72 divisors (see below), whose sum is σ = 82380480. Its totient is φ = 9751104.

The previous prime is 30906719. The next prime is 30906767. The reversal of 30906756 is 65760903.

It is a happy number.

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 30906756.

It is an unprimeable number.

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, 134850 + ... + 135078.

Almost surely, 2^30906756 is an apocalyptic number.

30906756 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 30906756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41190240).

30906756 is an abundant number, since it is smaller than the sum of its proper divisors (51473724).

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

30906756 is a wasteful number, since it uses less digits than its factorization.

30906756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 30906756 is about 5559.3844983055. The cubic root of 30906756 is about 313.8227866663.

The spelling of 30906756 in words is "thirty million, nine hundred six thousand, seven hundred fifty-six".