1610685441 has 36 divisors (see below), whose sum is σ = 2406208896. Its totient is φ = 1037732400.

The previous prime is 1610685437. The next prime is 1610685449. The reversal of 1610685441 is 1445860161.

1610685441 is a `hidden beast` number, since 1 + 6 + 106 + 8 + 544 + 1 = 666.

It is not a de Polignac number, because 1610685441 - 2² = 1610685437 is a prime.

It is a super-3 number, since 3×1610685441³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1610685396 and 1610685405.

It is not an unprimeable number, because it can be changed into a prime (1610685449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9644740 + ... + 9644906.

It is an arithmetic number, because the mean of its divisors is an integer number (66839136).

Almost surely, 2^1610685441 is an apocalyptic number.

It is an amenable number.

1610685441 is a deficient number, since it is larger than the sum of its proper divisors (795523455).

1610685441 is a wasteful number, since it uses less digits than its factorization.

1610685441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1610685441 is about 40133.3457488907. The cubic root of 1610685441 is about 1172.2050220930.

The spelling of 1610685441 in words is "one billion, six hundred ten million, six hundred eighty-five thousand, four hundred forty-one".