83890000 has 50 divisors (see below), whose sum is σ = 203130290. Its totient is φ = 33552000.

The previous prime is 83889943. The next prime is 83890007. The reversal of 83890000 is 9838.

It can be written as a sum of positive squares in 5 ways, for example, as 17239104 + 66650896 = 4152^2 + 8164^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83890007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5806 + ... + 14194.

Almost surely, 2^83890000 is an apocalyptic number.

83890000 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 83890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101565145).

83890000 is an abundant number, since it is smaller than the sum of its proper divisors (119240290).

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

83890000 is an equidigital number, since it uses as much as digits as its factorization.

83890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8417 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 83890000 is about 9159.1484320323. The cubic root of 83890000 is about 437.7606609948.

Adding to 83890000 its reverse (9838), we get a palindrome (83899838).

The spelling of 83890000 in words is "eighty-three million, eight hundred ninety thousand".