83564260 has 48 divisors (see below), whose sum is σ = 189749952. Its totient is φ = 30729600.

The previous prime is 83564233. The next prime is 83564263. The reversal of 83564260 is 6246538.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83564263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85575 + ... + 86545.

It is an arithmetic number, because the mean of its divisors is an integer number (3953124).

Almost surely, 2^83564260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83564260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874976).

83564260 is an abundant number, since it is smaller than the sum of its proper divisors (106185692).

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

83564260 is a wasteful number, since it uses less digits than its factorization.

83564260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 83564260 is about 9141.3489157782. The cubic root of 83564260 is about 437.1933263061.

The spelling of 83564260 in words is "eighty-three million, five hundred sixty-four thousand, two hundred sixty".