84308640 has 192 divisors, whose sum is σ = 292118400. Its totient is φ = 20312064.

The previous prime is 84308611. The next prime is 84308671. The reversal of 84308640 is 4680348.

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, 368046 + ... + 368274.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 2^84308640 is an apocalyptic number.

84308640 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 84308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

84308640 is an abundant number, since it is smaller than the sum of its proper divisors (207809760).

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

84308640 is a wasteful number, since it uses less digits than its factorization.

84308640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84308640 is about 9181.9736440484. The cubic root of 84308640 is about 438.4876452007.

Adding to 84308640 its reverse (4680348), we get a palindrome (88988988).

It can be divided in two parts, 84308 and 640, that added together give a palindrome (84948).

The spelling of 84308640 in words is "eighty-four million, three hundred eight thousand, six hundred forty".