49610 has 24 divisors (see below), whose sum is σ = 100548. Its totient is φ = 17600.

The previous prime is 49603. The next prime is 49613. The reversal of 49610 is 1694.

It can be written as a sum of positive squares in 2 ways, for example, as 43681 + 5929 = 209^2 + 77^2 .

It is a super-2 number, since 2×49610² = 4922304200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49613) 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 11 ways as a sum of consecutive naturals, for example, 1190 + ... + 1230.

2⁴⁹⁶¹⁰ is an apocalyptic number.

49610 is an abundant number, since it is smaller than the sum of its proper divisors (50938).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274).

49610 is a wasteful number, since it uses less digits than its factorization.

49610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 49610 is about 222.7330240445. The cubic root of 49610 is about 36.7442800421.

Subtracting from 49610 its product of nonzero digits (216), we obtain a palindrome (49394).

It can be divided in two parts, 49 and 610, that multiplied together give a triangular number (29890 = T₂₄₄).

The spelling of 49610 in words is "forty-nine thousand, six hundred ten".