620965800 has 576 divisors, whose sum is σ = 2729825280. Its totient is φ = 122757120.

The previous prime is 620965781. The next prime is 620965801. The reversal of 620965800 is 8569026.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (620965801) 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 143 ways as a sum of consecutive naturals, for example, 2784489 + ... + 2784711.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^620965800 is an apocalyptic number.

620965800 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 620965800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

620965800 is an abundant number, since it is smaller than the sum of its proper divisors (2108859480).

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

620965800 is a wasteful number, since it uses less digits than its factorization.

620965800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 620965800 is about 24919.1853799437. The cubic root of 620965800 is about 853.1444317918.

It can be divided in two parts, 62096 and 5800, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 620965800 in words is "six hundred twenty million, nine hundred sixty-five thousand, eight hundred".