83916000 has 480 divisors, whose sum is σ = 361513152. Its totient is φ = 18662400.

The previous prime is 83915981. The next prime is 83916011. The reversal of 83916000 is 61938.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267982 + ... + 2268018.

Almost surely, 2^83916000 is an apocalyptic number.

83916000 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 83916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

83916000 is an abundant number, since it is smaller than the sum of its proper divisors (277597152).

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

83916000 is a wasteful number, since it uses less digits than its factorization.

83916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 83916000 is about 9160.5676679996. The cubic root of 83916000 is about 437.8058813291.

Adding to 83916000 its reverse (61938), we get a palindrome (83977938).

The spelling of 83916000 in words is "eighty-three million, nine hundred sixteen thousand".