30509664 has 48 divisors (see below), whose sum is σ = 80442432. Its totient is φ = 10124928.

The previous prime is 30509663. The next prime is 30509669. The reversal of 30509664 is 46690503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30509663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26607 + ... + 27729.

It is an arithmetic number, because the mean of its divisors is an integer number (1675884).

Almost surely, 2^30509664 is an apocalyptic number.

It is an amenable number.

30509664 is an abundant number, since it is smaller than the sum of its proper divisors (49932768).

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

30509664 is a wasteful number, since it uses less digits than its factorization.

30509664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 30509664 is about 5523.5553767478. Note that the first 3 decimals coincide. The cubic root of 30509664 is about 312.4729841179.

The spelling of 30509664 in words is "thirty million, five hundred nine thousand, six hundred sixty-four".