83215600 has 90 divisors (see below), whose sum is σ = 216663216. Its totient is φ = 30700800.

The previous prime is 83215591. The next prime is 83215619. The reversal of 83215600 is 651238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66985 + ... + 68215.

Almost surely, 2^83215600 is an apocalyptic number.

83215600 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 83215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108331608).

83215600 is an abundant number, since it is smaller than the sum of its proper divisors (133447616).

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

83215600 is a wasteful number, since it uses less digits than its factorization.

83215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 83215600 is about 9122.2584922814. The cubic root of 83215600 is about 436.5844363414.

Adding to 83215600 its reverse (651238), we get a palindrome (83866838).

The spelling of 83215600 in words is "eighty-three million, two hundred fifteen thousand, six hundred".