83801620 has 48 divisors (see below), whose sum is σ = 203696640. Its totient is φ = 28364544.

The previous prime is 83801603. The next prime is 83801671. The reversal of 83801620 is 2610838.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 7272 + ... + 14848.

It is an arithmetic number, because the mean of its divisors is an integer number (4243680).

Almost surely, 2^83801620 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 83801620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101848320).

83801620 is an abundant number, since it is smaller than the sum of its proper divisors (119895020).

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

83801620 is a wasteful number, since it uses less digits than its factorization.

83801620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 83801620 is about 9154.3224762950. The cubic root of 83801620 is about 437.6068767461.

It can be divided in two parts, 8380 and 1620, that added together give a 4-th power (10000 = 10⁴).

The spelling of 83801620 in words is "eighty-three million, eight hundred one thousand, six hundred twenty".