620116800 has 336 divisors, whose sum is σ = 2190609792. Its totient is φ = 153190400.

The previous prime is 620116799. The next prime is 620116817. The reversal of 620116800 is 8611026.

620116800 = T₄₀₉ + T₄₁₀ + ... + T₁₅₅₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4526332 + ... + 4526468.

It is an arithmetic number, because the mean of its divisors is an integer number (6519672).

Almost surely, 2^620116800 is an apocalyptic number.

620116800 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 620116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095304896).

620116800 is an abundant number, since it is smaller than the sum of its proper divisors (1570492992).

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

620116800 is a wasteful number, since it uses less digits than its factorization.

620116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 620116800 is about 24902.1444859675. The cubic root of 620116800 is about 852.7554409777.

Adding to 620116800 its reverse (8611026), we get a palindrome (628727826).

The spelling of 620116800 in words is "six hundred twenty million, one hundred sixteen thousand, eight hundred".