30264840 has 80 divisors (see below), whose sum is σ = 101734380. Its totient is φ = 8069760.

The previous prime is 30264833. The next prime is 30264841. The reversal of 30264840 is 4846203.

It can be written as a sum of positive squares in 2 ways, for example, as 29354724 + 910116 = 5418^2 + 954^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (30264841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1431 + ... + 7910.

Almost surely, 2^30264840 is an apocalyptic number.

30264840 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 30264840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50867190).

30264840 is an abundant number, since it is smaller than the sum of its proper divisors (71469540).

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

30264840 is a wasteful number, since it uses less digits than its factorization.

30264840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364 (or 9351 counting only the distinct ones).

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

The square root of 30264840 is about 5501.3489254909. The cubic root of 30264840 is about 311.6349280246.

The spelling of 30264840 in words is "thirty million, two hundred sixty-four thousand, eight hundred forty".