82960416 has 384 divisors, whose sum is σ = 319334400. Its totient is φ = 20321280.

The previous prime is 82960411. The next prime is 82960421. The reversal of 82960416 is 61406928.

It is an interprime number because it is at equal distance from previous prime (82960411) and next prime (82960421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82960411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1929291 + ... + 1929333.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^82960416 is an apocalyptic number.

82960416 is a gapful number since it is divisible by the number (86) 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 82960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

82960416 is an abundant number, since it is smaller than the sum of its proper divisors (236373984).

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

82960416 is a wasteful number, since it uses less digits than its factorization.

82960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82960416 is about 9108.2608658294. The cubic root of 82960416 is about 436.1377114579.

The spelling of 82960416 in words is "eighty-two million, nine hundred sixty thousand, four hundred sixteen".