610825488 has 240 divisors, whose sum is σ = 2021584896. Its totient is φ = 155450880.

The previous prime is 610825429. The next prime is 610825493. The reversal of 610825488 is 884528016.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1760131 + ... + 1760477.

Almost surely, 2^610825488 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 610825488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010792448).

610825488 is an abundant number, since it is smaller than the sum of its proper divisors (1410759408).

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

610825488 is a wasteful number, since it uses less digits than its factorization.

610825488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 610825488 is about 24714.8839366079. The cubic root of 610825488 is about 848.4749993994.

The spelling of 610825488 in words is "six hundred ten million, eight hundred twenty-five thousand, four hundred eighty-eight".