82603368 has 64 divisors (see below), whose sum is σ = 237384000. Its totient is φ = 26582976.

The previous prime is 82603349. The next prime is 82603399. The reversal of 82603368 is 86330628.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 330 + ... + 12857.

It is an arithmetic number, because the mean of its divisors is an integer number (3709125).

Almost surely, 2^82603368 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 82603368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692000).

82603368 is an abundant number, since it is smaller than the sum of its proper divisors (154780632).

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

82603368 is a wasteful number, since it uses less digits than its factorization.

82603368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13221 counting only the distinct ones).

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

The square root of 82603368 is about 9088.6395021477. The cubic root of 82603368 is about 435.5111233347.

It can be divided in two parts, 8260 and 3368, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 82603368 in words is "eighty-two million, six hundred three thousand, three hundred sixty-eight".