82576416 has 96 divisors (see below), whose sum is σ = 235726848. Its totient is φ = 25159680.

The previous prime is 82576399. The next prime is 82576433. The reversal of 82576416 is 61467528.

It is an interprime number because it is at equal distance from previous prime (82576399) and next prime (82576433).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 158236 + ... + 158756.

It is an arithmetic number, because the mean of its divisors is an integer number (2455488).

Almost surely, 2^82576416 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 82576416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117863424).

82576416 is an abundant number, since it is smaller than the sum of its proper divisors (153150432).

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

82576416 is a wasteful number, since it uses less digits than its factorization.

82576416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 82576416 is about 9087.1566510103. The cubic root of 82576416 is about 435.4637516882.

The spelling of 82576416 in words is "eighty-two million, five hundred seventy-six thousand, four hundred sixteen".