83412000 has 288 divisors, whose sum is σ = 339341184. Its totient is φ = 19008000.

The previous prime is 83411971. The next prime is 83412029. The reversal of 83412000 is 21438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83411971) and next prime (83412029).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251835 + ... + 252165.

It is an arithmetic number, because the mean of its divisors is an integer number (1178268).

Almost surely, 2^83412000 is an apocalyptic number.

83412000 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 83412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169670592).

83412000 is an abundant number, since it is smaller than the sum of its proper divisors (255929184).

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

83412000 is a wasteful number, since it uses less digits than its factorization.

83412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83412000 is about 9133.0170261530. The cubic root of 83412000 is about 436.9276324684.

Adding to 83412000 its reverse (21438), we get a palindrome (83433438).

The spelling of 83412000 in words is "eighty-three million, four hundred twelve thousand".