83675520 has 192 divisors, whose sum is σ = 294372000. Its totient is φ = 21897216.

The previous prime is 83675509. The next prime is 83675521. The reversal of 83675520 is 2557638.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83675521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420381 + ... + 420579.

Almost surely, 2^83675520 is an apocalyptic number.

83675520 is a gapful number since it is divisible by the number (80) 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 83675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147186000).

83675520 is an abundant number, since it is smaller than the sum of its proper divisors (210696480).

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

83675520 is a wasteful number, since it uses less digits than its factorization.

83675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 83675520 is about 9147.4324266430. The cubic root of 83675520 is about 437.3872710921.

The spelling of 83675520 in words is "eighty-three million, six hundred seventy-five thousand, five hundred twenty".