84966400 has 66 divisors (see below), whose sum is σ = 210677240. Its totient is φ = 33976320.

The previous prime is 84966389. The next prime is 84966407. The reversal of 84966400 is 466948.

It is a self number, because there is not a number n which added to its sum of digits gives 84966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84966407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23941 + ... + 27259.

Almost surely, 2^84966400 is an apocalyptic number.

84966400 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 84966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338620).

84966400 is an abundant number, since it is smaller than the sum of its proper divisors (125710840).

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

84966400 is a wasteful number, since it uses less digits than its factorization.

84966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 84966400 is about 9217.7220613338. The cubic root of 84966400 is about 439.6250248835.

The spelling of 84966400 in words is "eighty-four million, nine hundred sixty-six thousand, four hundred".