610161600 has 168 divisors, whose sum is σ = 2013161328. Its totient is φ = 161792000.

The previous prime is 610161583. The next prime is 610161613. The reversal of 610161600 is 6161016.

It is a super-2 number, since 2×610161600² = 744594356229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521400 + ... + 1521800.

Almost surely, 2^610161600 is an apocalyptic number.

610161600 is a gapful number since it is divisible by the number (60) 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 610161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006580664).

610161600 is an abundant number, since it is smaller than the sum of its proper divisors (1402999728).

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

610161600 is a wasteful number, since it uses less digits than its factorization.

610161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 610161600 is about 24701.4493501900. The cubic root of 610161600 is about 848.1674939116.

The spelling of 610161600 in words is "six hundred ten million, one hundred sixty-one thousand, six hundred".