621897696 has 288 divisors, whose sum is σ = 2162039040. Its totient is φ = 170346240.

The previous prime is 621897673. The next prime is 621897697. The reversal of 621897696 is 696798126.

621897696 is a `hidden beast` number, since 621 + 8 + 9 + 7 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621897697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5812075 + ... + 5812181.

It is an arithmetic number, because the mean of its divisors is an integer number (7507080).

Almost surely, 2^621897696 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 621897696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081019520).

621897696 is an abundant number, since it is smaller than the sum of its proper divisors (1540141344).

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

621897696 is a wasteful number, since it uses less digits than its factorization.

621897696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 150 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 621897696 is about 24937.8767339964. The cubic root of 621897696 is about 853.5709955429.

The spelling of 621897696 in words is "six hundred twenty-one million, eight hundred ninety-seven thousand, six hundred ninety-six".