610265628 has 144 divisors (see below), whose sum is σ = 1833861120. Its totient is φ = 167443200.

The previous prime is 610265581. The next prime is 610265641. The reversal of 610265628 is 826562016.

610265628 is a `hidden beast` number, since 6 + 1 + 0 + 26 + 5 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 610265592 and 610265601.

It is a congruent number.

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, 1491888 + ... + 1492296.

Almost surely, 2^610265628 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 610265628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916930560).

610265628 is an abundant number, since it is smaller than the sum of its proper divisors (1223595492).

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

610265628 is a wasteful number, since it uses less digits than its factorization.

610265628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 610265628 is about 24703.5549668464. The cubic root of 610265628 is about 848.2156932488.

The spelling of 610265628 in words is "six hundred ten million, two hundred sixty-five thousand, six hundred twenty-eight".