61287744 has 112 divisors (see below), whose sum is σ = 191430656. Its totient is φ = 16934400.

The previous prime is 61287739. The next prime is 61287761. The reversal of 61287744 is 44778216.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40929 + ... + 42399.

Almost surely, 2^61287744 is an apocalyptic number.

61287744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61287744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95715328).

61287744 is an abundant number, since it is smaller than the sum of its proper divisors (130142912).

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

61287744 is a wasteful number, since it uses less digits than its factorization.

61287744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1514 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 61287744 is about 7828.6489255810. The cubic root of 61287744 is about 394.2677112433.

The spelling of 61287744 in words is "sixty-one million, two hundred eighty-seven thousand, seven hundred forty-four".