84621680 has 120 divisors (see below), whose sum is σ = 232819920. Its totient is φ = 28354560.

The previous prime is 84621653. The next prime is 84621689. The reversal of 84621680 is 8612648.

It is a self number, because there is not a number n which added to its sum of digits gives 84621680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84621689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148436 + ... + 149004.

It is an arithmetic number, because the mean of its divisors is an integer number (1940166).

Almost surely, 2^84621680 is an apocalyptic number.

84621680 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 84621680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409960).

84621680 is an abundant number, since it is smaller than the sum of its proper divisors (148198240).

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

84621680 is a wasteful number, since it uses less digits than its factorization.

84621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 84621680 is about 9199.0042939440. The cubic root of 84621680 is about 439.0296799343.

The spelling of 84621680 in words is "eighty-four million, six hundred twenty-one thousand, six hundred eighty".