840134000 has 80 divisors (see below), whose sum is σ = 2078899680. Its totient is φ = 328204800.

The previous prime is 840133913. The next prime is 840134093. The reversal of 840134000 is 431048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81116 + ... + 90884.

It is an arithmetic number, because the mean of its divisors is an integer number (25986246).

Almost surely, 2^840134000 is an apocalyptic number.

840134000 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 840134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039449840).

840134000 is an abundant number, since it is smaller than the sum of its proper divisors (1238765680).

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

840134000 is a wasteful number, since it uses less digits than its factorization.

840134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 840134000 is about 28985.0651198164. The cubic root of 840134000 is about 943.5889656967.

Adding to 840134000 its reverse (431048), we get a palindrome (840565048).

The spelling of 840134000 in words is "eight hundred forty million, one hundred thirty-four thousand".