621846144 has 48 divisors (see below), whose sum is σ = 1789430370. Its totient is φ = 207281664.

The previous prime is 621846133. The next prime is 621846157. The reversal of 621846144 is 441648126.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 619412544 + 2433600 = 24888^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 a junction number, because it is equal to n+sod(n) for n = 621846099 and 621846108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 268747 + ... + 271050.

Almost surely, 2^621846144 is an apocalyptic number.

621846144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

621846144 is an abundant number, since it is smaller than the sum of its proper divisors (1167584226).

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

621846144 is a wasteful number, since it uses less digits than its factorization.

621846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539817 (or 539802 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 621846144 is about 24936.8431041301. The cubic root of 621846144 is about 853.5474093978.

The spelling of 621846144 in words is "six hundred twenty-one million, eight hundred forty-six thousand, one hundred forty-four".