83716248 has 128 divisors (see below), whose sum is σ = 264384000. Its totient is φ = 21457920.

The previous prime is 83716183. The next prime is 83716249. The reversal of 83716248 is 84261738.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83716249) 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, 164218 + ... + 164726.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^83716248 is an apocalyptic number.

83716248 is a gapful number since it is divisible by the number (88) 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 83716248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

83716248 is an abundant number, since it is smaller than the sum of its proper divisors (180667752).

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

83716248 is a wasteful number, since it uses less digits than its factorization.

83716248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 621 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 83716248 is about 9149.6583542775. The cubic root of 83716248 is about 437.4582238205.

Subtracting 83716248 from its reverse (84261738), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 83716248 in words is "eighty-three million, seven hundred sixteen thousand, two hundred forty-eight".