6401610 has 24 divisors (see below), whose sum is σ = 16644420. Its totient is φ = 1707072.

The previous prime is 6401609. The next prime is 6401621. The reversal of 6401610 is 161046.

6401610 is a `hidden beast` number, since 640 + 16 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6066369 + 335241 = 2463^2 + 579^2 .

It is a super-2 number, since 2×6401610² = 81961221184200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35475 + ... + 35654.

Almost surely, 2^6401610 is an apocalyptic number.

6401610 is an abundant number, since it is smaller than the sum of its proper divisors (10242810).

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

6401610 is a wasteful number, since it uses less digits than its factorization.

6401610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71142 (or 71139 counting only the distinct ones).

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

The square root of 6401610 is about 2530.1403123147. The cubic root of 6401610 is about 185.6791207017.

Adding to 6401610 its reverse (161046), we get a palindrome (6562656).

The spelling of 6401610 in words is "six million, four hundred one thousand, six hundred ten".