61961760 has 240 divisors, whose sum is σ = 250278336. Its totient is φ = 14141952.

The previous prime is 61961723. The next prime is 61961761. The reversal of 61961760 is 6716916.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61961761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90379 + ... + 91061.

Almost surely, 2^61961760 is an apocalyptic number.

61961760 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 61961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125139168).

61961760 is an abundant number, since it is smaller than the sum of its proper divisors (188316576).

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

61961760 is a wasteful number, since it uses less digits than its factorization.

61961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61961760 is about 7871.5792570487. The cubic root of 61961760 is about 395.7077733863.

The spelling of 61961760 in words is "sixty-one million, nine hundred sixty-one thousand, seven hundred sixty".