30746496 has 128 divisors (see below), whose sum is σ = 92534400. Its totient is φ = 8960000.

The previous prime is 30746491. The next prime is 30746497. The reversal of 30746496 is 69464703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30746491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122371 + ... + 122621.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^30746496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46267200).

30746496 is an abundant number, since it is smaller than the sum of its proper divisors (61787904).

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

30746496 is a wasteful number, since it uses less digits than its factorization.

30746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 30746496 is about 5544.9522991636. The cubic root of 30746496 is about 313.2794273746.

The spelling of 30746496 in words is "thirty million, seven hundred forty-six thousand, four hundred ninety-six".