61490 has 32 divisors (see below), whose sum is σ = 133056. Its totient is φ = 20160.

The previous prime is 61487. The next prime is 61493. The reversal of 61490 is 9416.

61490 = 66² + 67² + ... + 77².

It is an interprime number because it is at equal distance from previous prime (61487) and next prime (61493).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (61493) 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 15 ways as a sum of consecutive naturals, for example, 1409 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2⁶¹⁴⁹⁰ is an apocalyptic number.

61490 is an abundant number, since it is smaller than the sum of its proper divisors (71566).

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 (66528).

61490 is a wasteful number, since it uses less digits than its factorization.

61490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74.

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

The square root of 61490 is about 247.9717725871. The cubic root of 61490 is about 39.4700943324.

It can be divided in two parts, 61 and 490, that multiplied together give a triangular number (29890 = T₂₄₄).

The spelling of 61490 in words is "sixty-one thousand, four hundred ninety".