84734400 has 168 divisors, whose sum is σ = 282204160. Its totient is φ = 22256640.

The previous prime is 84734371. The next prime is 84734401. The reversal of 84734400 is 443748.

84734400 = 753² + 754² + ... + 879².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84734401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609531 + ... + 609669.

Almost surely, 2^84734400 is an apocalyptic number.

84734400 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 84734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141102080).

84734400 is an abundant number, since it is smaller than the sum of its proper divisors (197469760).

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

84734400 is a wasteful number, since it uses less digits than its factorization.

84734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 84734400 is about 9205.1290050710. The cubic root of 84734400 is about 439.2245294046.

The spelling of 84734400 in words is "eighty-four million, seven hundred thirty-four thousand, four hundred".