84246400 has 96 divisors (see below), whose sum is σ = 237908880. Its totient is φ = 28876800.

The previous prime is 84246391. The next prime is 84246439. The reversal of 84246400 is 464248.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20520 + ... + 24280.

Almost surely, 2^84246400 is an apocalyptic number.

84246400 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 84246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118954440).

84246400 is an abundant number, since it is smaller than the sum of its proper divisors (153662480).

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

84246400 is a wasteful number, since it uses less digits than its factorization.

84246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 84246400 is about 9178.5837687521. The cubic root of 84246400 is about 438.3797156154.

The spelling of 84246400 in words is "eighty-four million, two hundred forty-six thousand, four hundred".