84339840 has 256 divisors, whose sum is σ = 301593600. Its totient is φ = 19906560.

The previous prime is 84339833. The next prime is 84339863. The reversal of 84339840 is 4893348.

It is a super-2 number, since 2×84339840² = 14226417222451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773706 + ... + 773814.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 2^84339840 is an apocalyptic number.

84339840 is a gapful number since it is divisible by the number (80) 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 84339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150796800).

84339840 is an abundant number, since it is smaller than the sum of its proper divisors (217253760).

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

84339840 is a wasteful number, since it uses less digits than its factorization.

84339840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 84339840 is about 9183.6724680272. The cubic root of 84339840 is about 438.5417287334.

The spelling of 84339840 in words is "eighty-four million, three hundred thirty-nine thousand, eight hundred forty".