82620408 has 128 divisors (see below), whose sum is σ = 242464320. Its totient is φ = 23224320.

The previous prime is 82620401. The next prime is 82620427. The reversal of 82620408 is 80402628.

It is a happy number.

It is a super-3 number, since 3×82620408³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82620401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196038 + ... + 196458.

Almost surely, 2^82620408 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 82620408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121232160).

82620408 is an abundant number, since it is smaller than the sum of its proper divisors (159843912).

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

82620408 is a wasteful number, since it uses less digits than its factorization.

82620408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82620408 is about 9089.5768878425. The cubic root of 82620408 is about 435.5410680351.

It can be divided in two parts, 82620 and 408, that added together give a triangular number (83028 = T₄₀₇).

The spelling of 82620408 in words is "eighty-two million, six hundred twenty thousand, four hundred eight".