84864000 has 352 divisors, whose sum is σ = 321886656. Its totient is φ = 19660800.

The previous prime is 84863969. The next prime is 84864001. The reversal of 84864000 is 46848.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84864001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991992 + ... + 4992008.

Almost surely, 2^84864000 is an apocalyptic number.

84864000 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 84864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160943328).

84864000 is an abundant number, since it is smaller than the sum of its proper divisors (237022656).

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

84864000 is a wasteful number, since it uses less digits than its factorization.

84864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84864000 is about 9212.1658691103. The cubic root of 84864000 is about 439.4483444566.

The spelling of 84864000 in words is "eighty-four million, eight hundred sixty-four thousand".