83493630 has 192 divisors, whose sum is σ = 258987456. Its totient is φ = 18585600.

The previous prime is 83493607. The next prime is 83493661. The reversal of 83493630 is 3639438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2036410 + ... + 2036450.

It is an arithmetic number, because the mean of its divisors is an integer number (1348893).

Almost surely, 2^83493630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83493630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

83493630 is an abundant number, since it is smaller than the sum of its proper divisors (175493826).

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

83493630 is a wasteful number, since it uses less digits than its factorization.

83493630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 83493630 is about 9137.4848837084. The cubic root of 83493630 is about 437.0701170596.

The spelling of 83493630 in words is "eighty-three million, four hundred ninety-three thousand, six hundred thirty".