83851680 has 96 divisors (see below), whose sum is σ = 288163008. Its totient is φ = 20326400.

The previous prime is 83851679. The next prime is 83851699. The reversal of 83851680 is 8615838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×83851680² = 14062208477644800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (3001698).

Almost surely, 2^83851680 is an apocalyptic number.

83851680 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 83851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144081504).

83851680 is an abundant number, since it is smaller than the sum of its proper divisors (204311328).

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

83851680 is a wasteful number, since it uses less digits than its factorization.

83851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15910 (or 15902 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 83851680 is about 9157.0562955570. The cubic root of 83851680 is about 437.6939961424.

The spelling of 83851680 in words is "eighty-three million, eight hundred fifty-one thousand, six hundred eighty".