30684240 has 120 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 7748352.

The previous prime is 30684239. The next prime is 30684287. The reversal of 30684240 is 4248603.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×30684240³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12559 + ... + 14801.

It is an arithmetic number, because the mean of its divisors is an integer number (904332).

Almost surely, 2^30684240 is an apocalyptic number.

30684240 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 30684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54259920).

30684240 is an abundant number, since it is smaller than the sum of its proper divisors (77835600).

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

30684240 is a wasteful number, since it uses less digits than its factorization.

30684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 30684240 is about 5539.3357002442. The cubic root of 30684240 is about 313.0678400928.

The spelling of 30684240 in words is "thirty million, six hundred eighty-four thousand, two hundred forty".