83966400 has 504 divisors, whose sum is σ = 368503200. Its totient is φ = 18063360.

The previous prime is 83966347. The next prime is 83966423. The reversal of 83966400 is 466938.

83966400 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4939192 + ... + 4939208.

Almost surely, 2^83966400 is an apocalyptic number.

83966400 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 83966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).

83966400 is an abundant number, since it is smaller than the sum of its proper divisors (284536800).

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

83966400 is a wasteful number, since it uses less digits than its factorization.

83966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83966400 is about 9163.3181762940. The cubic root of 83966400 is about 437.8935126127.

The spelling of 83966400 in words is "eighty-three million, nine hundred sixty-six thousand, four hundred".