84013400 has 48 divisors (see below), whose sum is σ = 199894200. Its totient is φ = 32820480.

The previous prime is 84013373. The next prime is 84013403. The reversal of 84013400 is 431048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84013403) 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 11 ways as a sum of consecutive naturals, for example, 3716 + ... + 13484.

Almost surely, 2^84013400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99947100).

84013400 is an abundant number, since it is smaller than the sum of its proper divisors (115880800).

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

84013400 is a wasteful number, since it uses less digits than its factorization.

84013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828 (or 9819 counting only the distinct ones).

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

The square root of 84013400 is about 9165.8823906921. The cubic root of 84013400 is about 437.9752006698.

Adding to 84013400 its reverse (431048), we get a palindrome (84444448).

The spelling of 84013400 in words is "eighty-four million, thirteen thousand, four hundred".