83486970 has 128 divisors (see below), whose sum is σ = 256942080. Its totient is φ = 18895680.

The previous prime is 83486933. The next prime is 83486989. The reversal of 83486970 is 7968438.

It is a happy number.

83486970 is a `hidden beast` number, since 83 + 486 + 97 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307935 + ... + 308205.

It is an arithmetic number, because the mean of its divisors is an integer number (2007360).

Almost surely, 2^83486970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83486970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128471040).

83486970 is an abundant number, since it is smaller than the sum of its proper divisors (173455110).

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

83486970 is a wasteful number, since it uses less digits than its factorization.

83486970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83486970 is about 9137.1204435533. The cubic root of 83486970 is about 437.0584955567.

The spelling of 83486970 in words is "eighty-three million, four hundred eighty-six thousand, nine hundred seventy".