61074 has 40 divisors (see below), whose sum is σ = 152460. Its totient is φ = 18144.

The previous prime is 61057. The next prime is 61091. The reversal of 61074 is 47016.

It is an interprime number because it is at equal distance from previous prime (61057) and next prime (61091).

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 2025 = 243^2 + 45^2 .

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

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2092 + ... + 2120.

2⁶¹⁰⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230).

61074 is an abundant number, since it is smaller than the sum of its proper divisors (91386).

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

61074 is a wasteful number, since it uses less digits than its factorization.

61074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61074 is about 247.1315439194. The cubic root of 61074 is about 39.3808834746.

Subtracting from 61074 its product of nonzero digits (168), we obtain a palindrome (60906).

The spelling of 61074 in words is "sixty-one thousand, seventy-four".