61285376 has 44 divisors (see below), whose sum is σ = 123974508. Its totient is φ = 30277632.

The previous prime is 61285361. The next prime is 61285379. The reversal of 61285376 is 67358216.

It can be written as a sum of positive squares in 2 ways, for example, as 11723776 + 49561600 = 3424^2 + 7040^2 .

It is a super-2 number, since 2×61285376² = 7511794622922752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61285379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99020 + ... + 99636.

Almost surely, 2^61285376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61987254).

61285376 is an abundant number, since it is smaller than the sum of its proper divisors (62689132).

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

61285376 is an equidigital number, since it uses as much as digits as its factorization.

61285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 61285376 is about 7828.4976847413. The cubic root of 61285376 is about 394.2626333495.

The spelling of 61285376 in words is "sixty-one million, two hundred eighty-five thousand, three hundred seventy-six".