83904690 has 96 divisors (see below), whose sum is σ = 223606656. Its totient is φ = 20078080.

The previous prime is 83904679. The next prime is 83904697. The reversal of 83904690 is 9640938.

It is a super-2 number, since 2×83904690² = 14079994007992200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83904697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269635 + ... + 269945.

It is an arithmetic number, because the mean of its divisors is an integer number (2329236).

Almost surely, 2^83904690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83904690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803328).

83904690 is an abundant number, since it is smaller than the sum of its proper divisors (139701966).

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

83904690 is a wasteful number, since it uses less digits than its factorization.

83904690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 83904690 is about 9159.9503273762. The cubic root of 83904690 is about 437.7862116317.

The spelling of 83904690 in words is "eighty-three million, nine hundred four thousand, six hundred ninety".