84536400 has 120 divisors (see below), whose sum is σ = 291682720. Its totient is φ = 20805120.

The previous prime is 84536369. The next prime is 84536437. The reversal of 84536400 is 463548.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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, 12891 + ... + 18309.

Almost surely, 2^84536400 is an apocalyptic number.

84536400 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 84536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145841360).

84536400 is an abundant number, since it is smaller than the sum of its proper divisors (207146320).

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

84536400 is a wasteful number, since it uses less digits than its factorization.

84536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 84536400 is about 9194.3678412385. The cubic root of 84536400 is about 438.8821486500.

Adding to 84536400 its reverse (463548), we get a palindrome (84999948).

The spelling of 84536400 in words is "eighty-four million, five hundred thirty-six thousand, four hundred".