83919760 has 40 divisors (see below), whose sum is σ = 196433856. Its totient is φ = 33340800.

The previous prime is 83919739. The next prime is 83919763. The reversal of 83919760 is 6791938.

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

It is a super-2 number, since 2×83919760² = 14085052236915200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83919763) 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, 8607 + ... + 15553.

Almost surely, 2^83919760 is an apocalyptic number.

83919760 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 83919760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98216928).

83919760 is an abundant number, since it is smaller than the sum of its proper divisors (112514096).

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

83919760 is a wasteful number, since it uses less digits than its factorization.

83919760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 83919760 is about 9160.7728931570. The cubic root of 83919760 is about 437.8124201120.

The spelling of 83919760 in words is "eighty-three million, nine hundred nineteen thousand, seven hundred sixty".