83421600 has 72 divisors (see below), whose sum is σ = 271545120. Its totient is φ = 22245120.

The previous prime is 83421577. The next prime is 83421617. The reversal of 83421600 is 612438.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14980 + ... + 19779.

It is an arithmetic number, because the mean of its divisors is an integer number (3771460).

Almost surely, 2^83421600 is an apocalyptic number.

83421600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83421600 is an abundant number, since it is smaller than the sum of its proper divisors (188123520).

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

83421600 is a wasteful number, since it uses less digits than its factorization.

83421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34782 (or 34769 counting only the distinct ones).

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

The square root of 83421600 is about 9133.5425766786. The cubic root of 83421600 is about 436.9443940230.

The spelling of 83421600 in words is "eighty-three million, four hundred twenty-one thousand, six hundred".