61759880 has 192 divisors, whose sum is σ = 184343040. Its totient is φ = 18123264.

The previous prime is 61759871. The next prime is 61759883. The reversal of 61759880 is 8895716.

It is a happy number.

It is a super-2 number, since 2×61759880² = 7628565555228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61759883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314017 + ... + 1314063.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^61759880 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 61759880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

61759880 is an abundant number, since it is smaller than the sum of its proper divisors (122583160).

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

61759880 is a wasteful number, since it uses less digits than its factorization.

61759880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 61759880 is about 7858.7454469527. The cubic root of 61759880 is about 395.2775488844.

The spelling of 61759880 in words is "sixty-one million, seven hundred fifty-nine thousand, eight hundred eighty".