83941920 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 20901888.

The previous prime is 83941909. The next prime is 83941939. The reversal of 83941920 is 2914938.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660897 + ... + 661023.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^83941920 is an apocalyptic number.

83941920 is a gapful number since it is divisible by the number (80) 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 83941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

83941920 is an abundant number, since it is smaller than the sum of its proper divisors (233070048).

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

83941920 is a wasteful number, since it uses less digits than its factorization.

83941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 83941920 is about 9161.9823182541. The cubic root of 83941920 is about 437.8509532274.

83941920 divided by its sum of digits (36) gives a triangular number (2331720 = T₂₁₅₉).

The spelling of 83941920 in words is "eighty-three million, nine hundred forty-one thousand, nine hundred twenty".