610587648 has 264 divisors, whose sum is σ = 2030951520. Its totient is φ = 174735360.

The previous prime is 610587643. The next prime is 610587697. The reversal of 610587648 is 846785016.

It is a happy number.

610587648 is a `hidden beast` number, since 6 + 1 + 0 + 587 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610587643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925986 + ... + 1926302.

Almost surely, 2^610587648 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 610587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015475760).

610587648 is an abundant number, since it is smaller than the sum of its proper divisors (1420363872).

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

610587648 is a wasteful number, since it uses less digits than its factorization.

610587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 610587648 is about 24710.0717926921. The cubic root of 610587648 is about 848.3648601995.

The spelling of 610587648 in words is "six hundred ten million, five hundred eighty-seven thousand, six hundred forty-eight".