83127920 has 40 divisors (see below), whose sum is σ = 199942560. Its totient is φ = 32103680.

The previous prime is 83127917. The next prime is 83127923. The reversal of 83127920 is 2972138.

It is an interprime number because it is at equal distance from previous prime (83127917) and next prime (83127923).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83127923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15596 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (4998564).

Almost surely, 2^83127920 is an apocalyptic number.

83127920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83127920 is an abundant number, since it is smaller than the sum of its proper divisors (116814640).

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

83127920 is a wasteful number, since it uses less digits than its factorization.

83127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35873 (or 35867 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 83127920 is about 9117.4513982801. The cubic root of 83127920 is about 436.4310469300.

The spelling of 83127920 in words is "eighty-three million, one hundred twenty-seven thousand, nine hundred twenty".