84134400 has 240 divisors, whose sum is σ = 318652224. Its totient is φ = 19169280.

The previous prime is 84134399. The next prime is 84134431. The reversal of 84134400 is 443148.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268644 + ... + 268956.

Almost surely, 2^84134400 is an apocalyptic number.

84134400 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 84134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159326112).

84134400 is an abundant number, since it is smaller than the sum of its proper divisors (234517824).

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

84134400 is a wasteful number, since it uses less digits than its factorization.

84134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84134400 is about 9172.4805805191. The cubic root of 84134400 is about 438.1853638805.

Adding to 84134400 its reverse (443148), we get a palindrome (84577548).

It can be divided in two parts, 84 and 134400, that multiplied together give a square (11289600 = 3360²).

The spelling of 84134400 in words is "eighty-four million, one hundred thirty-four thousand, four hundred".