82301616 has 160 divisors (see below), whose sum is σ = 256332800. Its totient is φ = 25194240.

The previous prime is 82301603. The next prime is 82301617. The reversal of 82301616 is 61610328.

It is a super-2 number, since 2×82301616² = 13547111992422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 82301616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82301617) 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, 303561 + ... + 303831.

It is an arithmetic number, because the mean of its divisors is an integer number (1602080).

Almost surely, 2^82301616 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 82301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128166400).

82301616 is an abundant number, since it is smaller than the sum of its proper divisors (174031184).

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

82301616 is a wasteful number, since it uses less digits than its factorization.

82301616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82301616 is about 9072.0238094926. The cubic root of 82301616 is about 434.9801655641.

The spelling of 82301616 in words is "eighty-two million, three hundred one thousand, six hundred sixteen".