621916416 has 216 divisors, whose sum is σ = 1997364096. Its totient is φ = 184504320.

The previous prime is 621916391. The next prime is 621916429. The reversal of 621916416 is 614619126.

621916416 is a `hidden beast` number, since 6 + 2 + 1 + 9 + 1 + 641 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343001 + ... + 1343463.

It is an arithmetic number, because the mean of its divisors is an integer number (9247056).

Almost surely, 2^621916416 is an apocalyptic number.

621916416 is a gapful number since it is divisible by the number (66) 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 621916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998682048).

621916416 is an abundant number, since it is smaller than the sum of its proper divisors (1375447680).

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

621916416 is a wasteful number, since it uses less digits than its factorization.

621916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 621916416 is about 24938.2520638476. The cubic root of 621916416 is about 853.5795600216.

The spelling of 621916416 in words is "six hundred twenty-one million, nine hundred sixteen thousand, four hundred sixteen".