1622083680 has 576 divisors, whose sum is σ = 6793113600. Its totient is φ = 344494080.

The previous prime is 1622083657. The next prime is 1622083681. The reversal of 1622083680 is 863802261.

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 (1622083681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9061831 + ... + 9062009.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1622083680 is an apocalyptic number.

1622083680 is a gapful number since it is divisible by the number (10) 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 1622083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396556800).

1622083680 is an abundant number, since it is smaller than the sum of its proper divisors (5171029920).

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

1622083680 is a wasteful number, since it uses less digits than its factorization.

1622083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1622083680 is about 40275.0999998759. The cubic root of 1622083680 is about 1174.9636155928.

The spelling of 1622083680 in words is "one billion, six hundred twenty-two million, eighty-three thousand, six hundred eighty".