610690080 has 768 divisors, whose sum is σ = 2731180032. Its totient is φ = 110592000.

The previous prime is 610690057. The next prime is 610690097. The reversal of 610690080 is 80096016.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14894860 + ... + 14894900.

It is an arithmetic number, because the mean of its divisors is an integer number (3556224).

Almost surely, 2^610690080 is an apocalyptic number.

610690080 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 610690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365590016).

610690080 is an abundant number, since it is smaller than the sum of its proper divisors (2120489952).

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

610690080 is a wasteful number, since it uses less digits than its factorization.

610690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

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

The square root of 610690080 is about 24712.1443828738. The cubic root of 610690080 is about 848.4122980247.

The spelling of 610690080 in words is "six hundred ten million, six hundred ninety thousand, eighty".