67830840 has 192 divisors, whose sum is σ = 274959360. Its totient is φ = 14088960.

The previous prime is 67830811. The next prime is 67830857. The reversal of 67830840 is 4803876.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 67830795 and 67830804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26497 + ... + 28943.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^67830840 is an apocalyptic number.

67830840 is a gapful number since it is divisible by the number (60) 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 67830840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

67830840 is an abundant number, since it is smaller than the sum of its proper divisors (207128520).

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

67830840 is a wasteful number, since it uses less digits than its factorization.

67830840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67830840 is about 8235.9480328618. The cubic root of 67830840 is about 407.8267719055.

The spelling of 67830840 in words is "sixty-seven million, eight hundred thirty thousand, eight hundred forty".