83041400 has 144 divisors (see below), whose sum is σ = 224334600. Its totient is φ = 28339200.

The previous prime is 83041397. The next prime is 83041421. The reversal of 83041400 is 414038.

It is a super-2 number, since 2×83041400² = 13791748227920000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 2025380 + ... + 2025420.

Almost surely, 2^83041400 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 83041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112167300).

83041400 is an abundant number, since it is smaller than the sum of its proper divisors (141293200).

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

83041400 is a wasteful number, since it uses less digits than its factorization.

83041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 80 counting only the distinct ones).

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

The square root of 83041400 is about 9112.7054160661. The cubic root of 83041400 is about 436.2795810846.

Adding to 83041400 its reverse (414038), we get a palindrome (83455438).

The spelling of 83041400 in words is "eighty-three million, forty-one thousand, four hundred".