1620082296 has 320 divisors, whose sum is σ = 5462424000. Its totient is φ = 448084224.

The previous prime is 1620082273. The next prime is 1620082297. The reversal of 1620082296 is 6922800261.

It is a happy number.

1620082296 is a `hidden beast` number, since 1 + 620 + 0 + 8 + 2 + 29 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1620082296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620082297) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8223670 + ... + 8223866.

It is an arithmetic number, because the mean of its divisors is an integer number (17070075).

Almost surely, 2^1620082296 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 1620082296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731212000).

1620082296 is an abundant number, since it is smaller than the sum of its proper divisors (3842341704).

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

1620082296 is a wasteful number, since it uses less digits than its factorization.

1620082296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 246 counting only the distinct ones).

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

The square root of 1620082296 is about 40250.2459122923. The cubic root of 1620082296 is about 1174.4801795415.

The spelling of 1620082296 in words is "one billion, six hundred twenty million, eighty-two thousand, two hundred ninety-six".