61288736 has 36 divisors (see below), whose sum is σ = 124742646. Its totient is φ = 29640960.

The previous prime is 61288709. The next prime is 61288741. The reversal of 61288736 is 63788216.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 14776336 = 6820^2 + 3844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61288693 and 61288702.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29756 + ... + 31748.

Almost surely, 2^61288736 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 61288736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62371323).

61288736 is an abundant number, since it is smaller than the sum of its proper divisors (63453910).

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

61288736 is a wasteful number, since it uses less digits than its factorization.

61288736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2026 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 61288736 is about 7828.7122823616. The cubic root of 61288736 is about 394.2698384302.

The spelling of 61288736 in words is "sixty-one million, two hundred eighty-eight thousand, seven hundred thirty-six".