612428544 has 432 divisors, whose sum is σ = 2285617152. Its totient is φ = 153280512.

The previous prime is 612428533. The next prime is 612428569. The reversal of 612428544 is 445824216.

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

Its product of digits (61440) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 612428499 and 612428508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4822209 + ... + 4822335.

Almost surely, 2^612428544 is an apocalyptic number.

612428544 is a gapful number since it is divisible by the number (64) 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 612428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142808576).

612428544 is an abundant number, since it is smaller than the sum of its proper divisors (1673188608).

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

612428544 is a wasteful number, since it uses less digits than its factorization.

612428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 612428544 is about 24747.2936702178. The cubic root of 612428544 is about 849.2165995406.

The spelling of 612428544 in words is "six hundred twelve million, four hundred twenty-eight thousand, five hundred forty-four".