83229600 has 72 divisors (see below), whose sum is σ = 270920160. Its totient is φ = 22193920.

The previous prime is 83229551. The next prime is 83229607. The reversal of 83229600 is 692238.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83229607) 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, 14940 + ... + 19739.

It is an arithmetic number, because the mean of its divisors is an integer number (3762780).

Almost surely, 2^83229600 is an apocalyptic number.

83229600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83229600 is an abundant number, since it is smaller than the sum of its proper divisors (187690560).

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

83229600 is a wasteful number, since it uses less digits than its factorization.

83229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34702 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 83229600 is about 9123.0258138405. The cubic root of 83229600 is about 436.6089182870.

The spelling of 83229600 in words is "eighty-three million, two hundred twenty-nine thousand, six hundred".