83153664 has 216 divisors, whose sum is σ = 278368272. Its totient is φ = 23592960.

The previous prime is 83153663. The next prime is 83153677. The reversal of 83153664 is 46635138.

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

It is not an unprimeable number, because it can be changed into a prime (83153663) by changing a digit.

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, 430752 + ... + 430944.

It is an arithmetic number, because the mean of its divisors is an integer number (1288742).

Almost surely, 2^83153664 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 83153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139184136).

83153664 is an abundant number, since it is smaller than the sum of its proper divisors (195214608).

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

83153664 is a wasteful number, since it uses less digits than its factorization.

83153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 83153664 is about 9118.8630870301. The cubic root of 83153664 is about 436.4760952572.

The spelling of 83153664 in words is "eighty-three million, one hundred fifty-three thousand, six hundred sixty-four".