83058960 has 40 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 22148992.

The previous prime is 83058931. The next prime is 83058967. The reversal of 83058960 is 6985038.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (83058967) 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 7 ways as a sum of consecutive naturals, for example, 172800 + ... + 173279.

It is an arithmetic number, because the mean of its divisors is an integer number (6437088).

Almost surely, 2^83058960 is an apocalyptic number.

83058960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83058960 is an abundant number, since it is smaller than the sum of its proper divisors (174424560).

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

83058960 is a wasteful number, since it uses less digits than its factorization.

83058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346095 (or 346089 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 83058960 is about 9113.6688550770. The cubic root of 83058960 is about 436.3103309254.

The spelling of 83058960 in words is "eighty-three million, fifty-eight thousand, nine hundred sixty".