83261400 has 96 divisors (see below), whose sum is σ = 260102400. Its totient is φ = 22032000.

The previous prime is 83261341. The next prime is 83261411. The reversal of 83261400 is 416238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90141 + ... + 91059.

It is an arithmetic number, because the mean of its divisors is an integer number (2709400).

Almost surely, 2^83261400 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 83261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130051200).

83261400 is an abundant number, since it is smaller than the sum of its proper divisors (176841000).

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

83261400 is a wasteful number, since it uses less digits than its factorization.

83261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83261400 is about 9124.7684902139. The cubic root of 83261400 is about 436.6645170792.

Adding to 83261400 its reverse (416238), we get a palindrome (83677638).

The spelling of 83261400 in words is "eighty-three million, two hundred sixty-one thousand, four hundred".