61751560 has 64 divisors (see below), whose sum is σ = 150822000. Its totient is φ = 22619136.

The previous prime is 61751549. The next prime is 61751563. The reversal of 61751560 is 6515716.

61751560 = T₁₇₆₀ + T₁₇₆₁ + ... + T₁₇₉₈.

It can be written as a sum of positive squares in 8 ways, for example, as 5171076 + 56580484 = 2274^2 + 7522^2 .

It is not an unprimeable number, because it can be changed into a prime (61751563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77082 + ... + 77878.

Almost surely, 2^61751560 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 61751560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411000).

61751560 is an abundant number, since it is smaller than the sum of its proper divisors (89070440).

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

61751560 is a wasteful number, since it uses less digits than its factorization.

61751560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 61751560 is about 7858.2160825470. The cubic root of 61751560 is about 395.2597981110.

The spelling of 61751560 in words is "sixty-one million, seven hundred fifty-one thousand, five hundred sixty".