83954080 has 48 divisors (see below), whose sum is σ = 226679040. Its totient is φ = 28783872.

The previous prime is 83954063. The next prime is 83954081. The reversal of 83954080 is 8045938.

It is not an unprimeable number, because it can be changed into a prime (83954081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36360 + ... + 38599.

It is an arithmetic number, because the mean of its divisors is an integer number (4722480).

Almost surely, 2^83954080 is an apocalyptic number.

83954080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83954080 is an abundant number, since it is smaller than the sum of its proper divisors (142724960).

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

83954080 is a wasteful number, since it uses less digits than its factorization.

83954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74981 (or 74973 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 83954080 is about 9162.6459060688. The cubic root of 83954080 is about 437.8720948712.

The spelling of 83954080 in words is "eighty-three million, nine hundred fifty-four thousand, eighty".