610214016 has 64 divisors (see below), whose sum is σ = 1651518720. Its totient is φ = 199560192.

The previous prime is 610213987. The next prime is 610214039. The reversal of 610214016 is 610412016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×610214016² = 744722290645696512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 610213983 and 610214001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5361 + ... + 35343.

It is an arithmetic number, because the mean of its divisors is an integer number (25804980).

Almost surely, 2^610214016 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 610214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825759360).

610214016 is an abundant number, since it is smaller than the sum of its proper divisors (1041304704).

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

610214016 is a wasteful number, since it uses less digits than its factorization.

610214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30053 (or 30041 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 610214016 is about 24702.5103177794. The cubic root of 610214016 is about 848.1917805237.

The spelling of 610214016 in words is "six hundred ten million, two hundred fourteen thousand, sixteen".