620680320 has 384 divisors, whose sum is σ = 2401439040. Its totient is φ = 152285184.

The previous prime is 620680289. The next prime is 620680321. The reversal of 620680320 is 23086026.

620680320 is a `hidden beast` number, since 620 + 6 + 8 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620680321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021607 + ... + 2021913.

Almost surely, 2^620680320 is an apocalyptic number.

620680320 is a gapful number since it is divisible by the number (60) 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 620680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200719520).

620680320 is an abundant number, since it is smaller than the sum of its proper divisors (1780758720).

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

620680320 is a wasteful number, since it uses less digits than its factorization.

620680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 620680320 is about 24913.4566048150. The cubic root of 620680320 is about 853.0136715011.

The spelling of 620680320 in words is "six hundred twenty million, six hundred eighty thousand, three hundred twenty".