610146864 has 160 divisors (see below), whose sum is σ = 1867380480. Its totient is φ = 190080000.

The previous prime is 610146853. The next prime is 610146877. The reversal of 610146864 is 468641016.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1843179 + ... + 1843509.

It is an arithmetic number, because the mean of its divisors is an integer number (11671128).

Almost surely, 2^610146864 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 610146864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933690240).

610146864 is an abundant number, since it is smaller than the sum of its proper divisors (1257233616).

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

610146864 is a wasteful number, since it uses less digits than its factorization.

610146864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 610146864 is about 24701.1510662965. The cubic root of 610146864 is about 848.1606658315.

The spelling of 610146864 in words is "six hundred ten million, one hundred forty-six thousand, eight hundred sixty-four".