620745840 has 240 divisors, whose sum is σ = 2449530720. Its totient is φ = 138885120.

The previous prime is 620745799. The next prime is 620745859. The reversal of 620745840 is 48547026.

620745840 is a `hidden beast` number, since 6 + 2 + 0 + 74 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×620745840³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 620745795 and 620745804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99946 + ... + 105974.

It is an arithmetic number, because the mean of its divisors is an integer number (10206378).

Almost surely, 2^620745840 is an apocalyptic number.

620745840 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 620745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224765360).

620745840 is an abundant number, since it is smaller than the sum of its proper divisors (1828784880).

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

620745840 is a wasteful number, since it uses less digits than its factorization.

620745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 620745840 is about 24914.7715221312. The cubic root of 620745840 is about 853.0436856041.

The spelling of 620745840 in words is "six hundred twenty million, seven hundred forty-five thousand, eight hundred forty".