61761960 has 256 divisors, whose sum is σ = 228614400. Its totient is φ = 14736384.

The previous prime is 61761943. The next prime is 61761961. The reversal of 61761960 is 6916716.

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 (61761961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744079 + ... + 744161.

It is an arithmetic number, because the mean of its divisors is an integer number (893025).

Almost surely, 2^61761960 is an apocalyptic number.

61761960 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 61761960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

61761960 is an abundant number, since it is smaller than the sum of its proper divisors (166852440).

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

61761960 is a wasteful number, since it uses less digits than its factorization.

61761960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

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

The square root of 61761960 is about 7858.8777824827. The cubic root of 61761960 is about 395.2819863286.

The spelling of 61761960 in words is "sixty-one million, seven hundred sixty-one thousand, nine hundred sixty".