83801952 has 144 divisors (see below), whose sum is σ = 266469840. Its totient is φ = 25754112.

The previous prime is 83801923. The next prime is 83801953. The reversal of 83801952 is 25910838.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83801953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100674 + ... + 101502.

It is an arithmetic number, because the mean of its divisors is an integer number (1850485).

Almost surely, 2^83801952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133234920).

83801952 is an abundant number, since it is smaller than the sum of its proper divisors (182667888).

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

83801952 is a wasteful number, since it uses less digits than its factorization.

83801952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 83801952 is about 9154.3406097872. The cubic root of 83801952 is about 437.6074546399.

The spelling of 83801952 in words is "eighty-three million, eight hundred one thousand, nine hundred fifty-two".