83551664 has 120 divisors (see below), whose sum is σ = 203558400. Its totient is φ = 33022080.

The previous prime is 83551597. The next prime is 83551673. The reversal of 83551664 is 46615538.

83551664 = T₁₉₀ + T₁₉₁ + ... + T₇₉₇.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057577 + ... + 1057655.

It is an arithmetic number, because the mean of its divisors is an integer number (1696320).

Almost surely, 2^83551664 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 83551664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101779200).

83551664 is an abundant number, since it is smaller than the sum of its proper divisors (120006736).

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

83551664 is a wasteful number, since it uses less digits than its factorization.

83551664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 83551664 is about 9140.6599324119. The cubic root of 83551664 is about 437.1713585261.

The spelling of 83551664 in words is "eighty-three million, five hundred fifty-one thousand, six hundred sixty-four".