30840600 has 144 divisors (see below), whose sum is σ = 111321000. Its totient is φ = 7042560.

The previous prime is 30840587. The next prime is 30840611. The reversal of 30840600 is 604803.

It is a super-2 number, since 2×30840600² = 1902285216720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 28876 + ... + 29924.

Almost surely, 2^30840600 is an apocalyptic number.

30840600 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 30840600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55660500).

30840600 is an abundant number, since it is smaller than the sum of its proper divisors (80480400).

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

30840600 is a wasteful number, since it uses less digits than its factorization.

30840600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30840600 is about 5553.4313716836. The cubic root of 30840600 is about 313.5987138553.

The spelling of 30840600 in words is "thirty million, eight hundred forty thousand, six hundred".