620089600 has 216 divisors, whose sum is σ = 1716530760. Its totient is φ = 220200960.

The previous prime is 620089579. The next prime is 620089607. The reversal of 620089600 is 6980026.

It can be written as a sum of positive squares in 12 ways, for example, as 88510464 + 531579136 = 9408^2 + 23056^2 .

It is a super-2 number, since 2×620089600² = 769022224056320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620089607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412672 + ... + 2412928.

Almost surely, 2^620089600 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 620089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858265380).

620089600 is an abundant number, since it is smaller than the sum of its proper divisors (1096441160).

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

620089600 is a wasteful number, since it uses less digits than its factorization.

620089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 620089600 is about 24901.5983422751. The cubic root of 620089600 is about 852.7429727421.

The spelling of 620089600 in words is "six hundred twenty million, eighty-nine thousand, six hundred".