610151080 has 256 divisors, whose sum is σ = 1861263360. Its totient is φ = 174182400.

The previous prime is 610151077. The next prime is 610151081. The reversal of 610151080 is 80151016.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (610151081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2251345 + ... + 2251615.

It is an arithmetic number, because the mean of its divisors is an integer number (7270560).

Almost surely, 2^610151080 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 610151080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930631680).

610151080 is an abundant number, since it is smaller than the sum of its proper divisors (1251112280).

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

610151080 is a wasteful number, since it uses less digits than its factorization.

610151080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 610151080 is about 24701.2364063016. The cubic root of 610151080 is about 848.1626193705.

The spelling of 610151080 in words is "six hundred ten million, one hundred fifty-one thousand, eighty".