610968000 has 112 divisors (see below), whose sum is σ = 2017495584. Its totient is φ = 162918400.

The previous prime is 610967977. The next prime is 610968023. The reversal of 610968000 is 869016.

It is an interprime number because it is at equal distance from previous prime (610967977) and next prime (610968023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11272 + ... + 36728.

Almost surely, 2^610968000 is an apocalyptic number.

610968000 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 610968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008747792).

610968000 is an abundant number, since it is smaller than the sum of its proper divisors (1406527584).

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

610968000 is a wasteful number, since it uses less digits than its factorization.

610968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 610968000 is about 24717.7668894259. The cubic root of 610968000 is about 848.5409803104.

It can be divided in two parts, 61096 and 8000, that added together give a palindrome (69096).

The spelling of 610968000 in words is "six hundred ten million, nine hundred sixty-eight thousand".