83960448 has 192 divisors, whose sum is σ = 265893600. Its totient is φ = 23316480.

The previous prime is 83960441. The next prime is 83960453. The reversal of 83960448 is 84406938.

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

It is not an unprimeable number, because it can be changed into a prime (83960441) 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, 603963 + ... + 604101.

Almost surely, 2^83960448 is an apocalyptic number.

83960448 is a gapful number since it is divisible by the number (88) 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 83960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132946800).

83960448 is an abundant number, since it is smaller than the sum of its proper divisors (181933152).

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

83960448 is a wasteful number, since it uses less digits than its factorization.

83960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 83960448 is about 9162.9933973566. The cubic root of 83960448 is about 437.8831656018.

The spelling of 83960448 in words is "eighty-three million, nine hundred sixty thousand, four hundred forty-eight".