621142368 has 144 divisors (see below), whose sum is σ = 2048497920. Its totient is φ = 161314560.

The previous prime is 621142349. The next prime is 621142391. The reversal of 621142368 is 863241126.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77493 + ... + 85131.

It is an arithmetic number, because the mean of its divisors is an integer number (14225680).

Almost surely, 2^621142368 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 621142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024248960).

621142368 is an abundant number, since it is smaller than the sum of its proper divisors (1427355552).

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

621142368 is a wasteful number, since it uses less digits than its factorization.

621142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7662 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 621142368 is about 24922.7279405766. The cubic root of 621142368 is about 853.2252863416.

The spelling of 621142368 in words is "six hundred twenty-one million, one hundred forty-two thousand, three hundred sixty-eight".