83967520 has 192 divisors, whose sum is σ = 250629120. Its totient is φ = 25878528.

The previous prime is 83967497. The next prime is 83967523. The reversal of 83967520 is 2576938.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (83967523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062841 + ... + 1062919.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^83967520 is an apocalyptic number.

83967520 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 83967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

83967520 is an abundant number, since it is smaller than the sum of its proper divisors (166661600).

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

83967520 is a wasteful number, since it uses less digits than its factorization.

83967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 83967520 is about 9163.3792893233. The cubic root of 83967520 is about 437.8954595762.

The spelling of 83967520 in words is "eighty-three million, nine hundred sixty-seven thousand, five hundred twenty".