84974400 has 336 divisors, whose sum is σ = 355274880. Its totient is φ = 19353600.

The previous prime is 84974399. The next prime is 84974413. The reversal of 84974400 is 447948.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302260 + ... + 302540.

Almost surely, 2^84974400 is an apocalyptic number.

84974400 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 84974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177637440).

84974400 is an abundant number, since it is smaller than the sum of its proper divisors (270300480).

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

84974400 is a wasteful number, since it uses less digits than its factorization.

84974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84974400 is about 9218.1559978121. The cubic root of 84974400 is about 439.6388220623.

The spelling of 84974400 in words is "eighty-four million, nine hundred seventy-four thousand, four hundred".