61285410 has 80 divisors (see below), whose sum is σ = 170537400. Its totient is φ = 15773184.

The previous prime is 61285379. The next prime is 61285417. The reversal of 61285410 is 1458216.

61285410 is a `hidden beast` number, since 612 + 8 + 5 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49154121 + 12131289 = 7011^2 + 3483^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61285417) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 22186 + ... + 24794.

Almost surely, 2^61285410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61285410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85268700).

61285410 is an abundant number, since it is smaller than the sum of its proper divisors (109251990).

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

61285410 is a wasteful number, since it uses less digits than its factorization.

61285410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61285410 is about 7828.4998562943. The cubic root of 61285410 is about 394.2627062594.

The spelling of 61285410 in words is "sixty-one million, two hundred eighty-five thousand, four hundred ten".