83811840 has 160 divisors (see below), whose sum is σ = 306408960. Its totient is φ = 19144704.

The previous prime is 83811809. The next prime is 83811863. The reversal of 83811840 is 4811838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 52981 + ... + 54539.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^83811840 is an apocalyptic number.

83811840 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 83811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153204480).

83811840 is an abundant number, since it is smaller than the sum of its proper divisors (222597120).

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

83811840 is a wasteful number, since it uses less digits than its factorization.

83811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 83811840 is about 9154.8806655248. The cubic root of 83811840 is about 437.6246654257.

The spelling of 83811840 in words is "eighty-three million, eight hundred eleven thousand, eight hundred forty".