83266380 has 84 divisors (see below), whose sum is σ = 262215072. Its totient is φ = 22200480.

The previous prime is 83266373. The next prime is 83266387. The reversal of 83266380 is 8366238.

It is an interprime number because it is at equal distance from previous prime (83266373) and next prime (83266387).

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

It is not an unprimeable number, because it can be changed into a prime (83266387) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11725 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (3121608).

Almost surely, 2^83266380 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 83266380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131107536).

83266380 is an abundant number, since it is smaller than the sum of its proper divisors (178948692).

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

83266380 is a wasteful number, since it uses less digits than its factorization.

83266380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 83266380 is about 9125.0413697692. The cubic root of 83266380 is about 436.6732227777.

It can be divided in two parts, 8326 and 6380, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 83266380 in words is "eighty-three million, two hundred sixty-six thousand, three hundred eighty".