620006400 has 660 divisors, whose sum is σ = 2579907792. Its totient is φ = 145981440.

The previous prime is 620006381. The next prime is 620006407. The reversal of 620006400 is 4600026.

620006400 is a `hidden beast` number, since 6 + 20 + 0 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620006407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26956789 + ... + 26956811.

Almost surely, 2^620006400 is an apocalyptic number.

620006400 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 620006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289953896).

620006400 is an abundant number, since it is smaller than the sum of its proper divisors (1959901392).

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

620006400 is a wasteful number, since it uses less digits than its factorization.

620006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 620006400 is about 24899.9277107384. The cubic root of 620006400 is about 852.7048323461.

Adding to 620006400 its reverse (4600026), we get a palindrome (624606426).

The spelling of 620006400 in words is "six hundred twenty million, six thousand, four hundred".