83970000 has 200 divisors, whose sum is σ = 302153280. Its totient is φ = 22320000.

The previous prime is 83969971. The next prime is 83970017. The reversal of 83970000 is 7938.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 269845 + ... + 270155.

Almost surely, 2^83970000 is an apocalyptic number.

83970000 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 83970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151076640).

83970000 is an abundant number, since it is smaller than the sum of its proper divisors (218183280).

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

83970000 is a wasteful number, since it uses less digits than its factorization.

83970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 83970000 is about 9163.5146095808. The cubic root of 83970000 is about 437.8997706481.

Adding to 83970000 its reverse (7938), we get a palindrome (83977938).

The spelling of 83970000 in words is "eighty-three million, nine hundred seventy thousand".