82050408 has 112 divisors (see below), whose sum is σ = 251827200. Its totient is φ = 24844320.

The previous prime is 82050383. The next prime is 82050433. The reversal of 82050408 is 80405028.

It is an interprime number because it is at equal distance from previous prime (82050383) and next prime (82050433).

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63513 + ... + 64791.

Almost surely, 2^82050408 is an apocalyptic number.

82050408 is a gapful number since it is divisible by the number (88) 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 82050408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125913600).

82050408 is an abundant number, since it is smaller than the sum of its proper divisors (169776792).

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

82050408 is a wasteful number, since it uses less digits than its factorization.

82050408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82050408 is about 9058.1680267039. The cubic root of 82050408 is about 434.5371533587.

The spelling of 82050408 in words is "eighty-two million, fifty thousand, four hundred eight".