83410000 has 100 divisors (see below), whose sum is σ = 213056800. Its totient is φ = 31536000.

The previous prime is 83409979. The next prime is 83410001. The reversal of 83410000 is 1438.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189781 + ... + 190219.

It is an arithmetic number, because the mean of its divisors is an integer number (2130568).

Almost surely, 2^83410000 is an apocalyptic number.

83410000 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 83410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106528400).

83410000 is an abundant number, since it is smaller than the sum of its proper divisors (129646800).

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

83410000 is a wasteful number, since it uses less digits than its factorization.

83410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 83410000 is about 9132.9075326536. The cubic root of 83410000 is about 436.9241403160.

83410000 divided by its sum of digits (16) gives a palindrome (5213125).

Adding to 83410000 its reverse (1438), we get a palindrome (83411438).

The spelling of 83410000 in words is "eighty-three million, four hundred ten thousand".