30566640 has 160 divisors (see below), whose sum is σ = 104118336. Its totient is φ = 7372800.

The previous prime is 30566621. The next prime is 30566647. The reversal of 30566640 is 4666503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30566598 and 30566607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30566647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302590 + ... + 302690.

Almost surely, 2^30566640 is an apocalyptic number.

30566640 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 30566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52059168).

30566640 is an abundant number, since it is smaller than the sum of its proper divisors (73551696).

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

30566640 is a wasteful number, since it uses less digits than its factorization.

30566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 30566640 is about 5528.7105187376. The cubic root of 30566640 is about 312.6673748714.

The spelling of 30566640 in words is "thirty million, five hundred sixty-six thousand, six hundred forty".