30864240 has 200 divisors, whose sum is σ = 117211248. Its totient is φ = 7464960.

The previous prime is 30864217. The next prime is 30864241. The reversal of 30864240 is 4246803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30864241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71064 + ... + 71496.

Almost surely, 2^30864240 is an apocalyptic number.

30864240 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 30864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605624).

30864240 is an abundant number, since it is smaller than the sum of its proper divisors (86347008).

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

30864240 is a wasteful number, since it uses less digits than its factorization.

30864240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

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

The square root of 30864240 is about 5555.5593777765. The cubic root of 30864240 is about 313.6788201676.

The spelling of 30864240 in words is "thirty million, eight hundred sixty-four thousand, two hundred forty".