61697760 has 96 divisors (see below), whose sum is σ = 205807392. Its totient is φ = 15482880.

The previous prime is 61697749. The next prime is 61697767. The reversal of 61697760 is 6779616.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61697760² = 7613227178035200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61697767) 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, 4380 + ... + 11940.

It is an arithmetic number, because the mean of its divisors is an integer number (2143827).

Almost surely, 2^61697760 is an apocalyptic number.

61697760 is a gapful number since it is divisible by the number (60) 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 61697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102903696).

61697760 is an abundant number, since it is smaller than the sum of its proper divisors (144109632).

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

61697760 is a wasteful number, since it uses less digits than its factorization.

61697760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 61697760 is about 7854.7921678425. The cubic root of 61697760 is about 395.1449769593.

The spelling of 61697760 in words is "sixty-one million, six hundred ninety-seven thousand, seven hundred sixty".