621888960 has 448 divisors, whose sum is σ = 2528133120. Its totient is φ = 125767680.

The previous prime is 621888947. The next prime is 621888997. The reversal of 621888960 is 69888126.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3474151 + ... + 3474329.

Almost surely, 2^621888960 is an apocalyptic number.

621888960 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 621888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264066560).

621888960 is an abundant number, since it is smaller than the sum of its proper divisors (1906244160).

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

621888960 is a wasteful number, since it uses less digits than its factorization.

621888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 621888960 is about 24937.7015781327. The cubic root of 621888960 is about 853.5669987274.

The spelling of 621888960 in words is "six hundred twenty-one million, eight hundred eighty-eight thousand, nine hundred sixty".