83335920 has 40 divisors (see below), whose sum is σ = 258342096. Its totient is φ = 22222848.

The previous prime is 83335913. The next prime is 83335933. The reversal of 83335920 is 2953338.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173377 + ... + 173856.

Almost surely, 2^83335920 is an apocalyptic number.

83335920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83335920 is an abundant number, since it is smaller than the sum of its proper divisors (175006176).

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

83335920 is a wasteful number, since it uses less digits than its factorization.

83335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347249 (or 347243 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 83335920 is about 9128.8509682216. The cubic root of 83335920 is about 436.7947516443.

It can be divided in two parts, 83335 and 920, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 83335920 in words is "eighty-three million, three hundred thirty-five thousand, nine hundred twenty".