83445264 has 120 divisors (see below), whose sum is σ = 281003840. Its totient is φ = 22581504.

The previous prime is 83445253. The next prime is 83445281. The reversal of 83445264 is 46254438.

It is a super-5 number, since 5×83445264⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16974 + ... + 21330.

Almost surely, 2^83445264 is an apocalyptic number.

83445264 is a gapful number since it is divisible by the number (84) 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 83445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140501920).

83445264 is an abundant number, since it is smaller than the sum of its proper divisors (197558576).

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

83445264 is a wasteful number, since it uses less digits than its factorization.

83445264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4388 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 83445264 is about 9134.8379295968. The cubic root of 83445264 is about 436.9857057640.

The spelling of 83445264 in words is "eighty-three million, four hundred forty-five thousand, two hundred sixty-four".