621084672 has 238 divisors, whose sum is σ = 2005648442. Its totient is φ = 191102976.

The previous prime is 621084661. The next prime is 621084679. The reversal of 621084672 is 276480126.

It can be written as a sum of positive squares in only one way, i.e., 429981696 + 191102976 = 20736^2 + 13824^2 .

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 (621084679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775738 + ... + 47775750.

Almost surely, 2^621084672 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 621084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002824221).

621084672 is an abundant number, since it is smaller than the sum of its proper divisors (1384563770).

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

621084672 is an frugal number, since it uses more digits than its factorization.

621084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 621084672 is about 24921.5704160071. The cubic root of 621084672 is about 853.1988677013.

The spelling of 621084672 in words is "six hundred twenty-one million, eighty-four thousand, six hundred seventy-two".