83526400 has 108 divisors (see below), whose sum is σ = 213916864. Its totient is φ = 32256000.

The previous prime is 83526341. The next prime is 83526403. The reversal of 83526400 is 462538.

It is not an unprimeable number, because it can be changed into a prime (83526403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198190 + ... + 198610.

Almost surely, 2^83526400 is an apocalyptic number.

83526400 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 83526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106958432).

83526400 is an abundant number, since it is smaller than the sum of its proper divisors (130390464).

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

83526400 is a wasteful number, since it uses less digits than its factorization.

83526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 83526400 is about 9139.2778708167. The cubic root of 83526400 is about 437.1272907398.

Adding to 83526400 its reverse (462538), we get a palindrome (83988938).

The spelling of 83526400 in words is "eighty-three million, five hundred twenty-six thousand, four hundred".