83888838 has 64 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 24079680.

The previous prime is 83888837. The next prime is 83888839.

83888838 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (83888837) and next prime (83888839).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83888837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7570 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (3345300).

Almost surely, 2^83888838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83888838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

83888838 is an abundant number, since it is smaller than the sum of its proper divisors (130210362).

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

83888838 is a wasteful number, since it uses less digits than its factorization.

83888838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7468 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 83888838 is about 9159.0849979679. The cubic root of 83888838 is about 437.7586397756.

It can be divided in two parts, 838 and 88838, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 83888838 in words is "eighty-three million, eight hundred eighty-eight thousand, eight hundred thirty-eight".