30764160 has 288 divisors, whose sum is σ = 124710300. Its totient is φ = 6967296.

The previous prime is 30764159. The next prime is 30764177. The reversal of 30764160 is 6146703.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 28224 = 5544^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 282186 + ... + 282294.

Almost surely, 2^30764160 is an apocalyptic number.

30764160 is a gapful number since it is divisible by the number (30) 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 30764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355150).

30764160 is an abundant number, since it is smaller than the sum of its proper divisors (93946140).

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

30764160 is a wasteful number, since it uses less digits than its factorization.

30764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30764160 is about 5546.5448704576. The cubic root of 30764160 is about 313.3394093686.

The spelling of 30764160 in words is "thirty million, seven hundred sixty-four thousand, one hundred sixty".