620436960 has 576 divisors, whose sum is σ = 2615348736. Its totient is φ = 131788800.

The previous prime is 620436931. The next prime is 620436961. The reversal of 620436960 is 69634026.

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 (620436961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4736095 + ... + 4736225.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2^620436960 is an apocalyptic number.

620436960 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 620436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307674368).

620436960 is an abundant number, since it is smaller than the sum of its proper divisors (1994911776).

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

620436960 is a wasteful number, since it uses less digits than its factorization.

620436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 620436960 is about 24908.5720184839. The cubic root of 620436960 is about 852.9021720505.

It can be divided in two parts, 620 and 436960, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 620436960 in words is "six hundred twenty million, four hundred thirty-six thousand, nine hundred sixty".