83700738 has 72 divisors (see below), whose sum is σ = 208976976. Its totient is φ = 24008400.

The previous prime is 83700731. The next prime is 83700739.

83700738 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (83700731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70893 + ... + 72063.

It is an arithmetic number, because the mean of its divisors is an integer number (2902458).

Almost surely, 2^83700738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83700738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104488488).

83700738 is an abundant number, since it is smaller than the sum of its proper divisors (125276238).

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

83700738 is a wasteful number, since it uses less digits than its factorization.

83700738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 83700738 is about 9148.8107423861. The cubic root of 83700738 is about 437.4312063806.

The spelling of 83700738 in words is "eighty-three million, seven hundred thousand, seven hundred thirty-eight".