610202016 has 144 divisors (see below), whose sum is σ = 1836027648. Its totient is φ = 191923200.

The previous prime is 610201979. The next prime is 610202027.

It is a happy number.

610202016 is a `hidden beast` number, since 610 + 20 + 20 + 16 = 666.

610202016 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 610202016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365215 + ... + 366881.

It is an arithmetic number, because the mean of its divisors is an integer number (12750192).

Almost surely, 2^610202016 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 610202016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918013824).

610202016 is an abundant number, since it is smaller than the sum of its proper divisors (1225825632).

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

610202016 is a wasteful number, since it uses less digits than its factorization.

610202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 610202016 is about 24702.2674262911. The cubic root of 610202016 is about 848.1862205247.

It can be divided in two parts, 61020 and 2016, that added together give a palindrome (63036).

The spelling of 610202016 in words is "six hundred ten million, two hundred two thousand, sixteen".