61537968 has 100 divisors (see below), whose sum is σ = 180228048. Its totient is φ = 20269440.

The previous prime is 61537963. The next prime is 61537969. The reversal of 61537968 is 86973516.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61537961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133258 + ... + 133718.

Almost surely, 2^61537968 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 61537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90114024).

61537968 is an abundant number, since it is smaller than the sum of its proper divisors (118690080).

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

61537968 is a wasteful number, since it uses less digits than its factorization.

61537968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 61537968 is about 7844.6139484362. The cubic root of 61537968 is about 394.8035513026.

It can be divided in two parts, 615 and 37968, that added together give a palindrome (38583).

The spelling of 61537968 in words is "sixty-one million, five hundred thirty-seven thousand, nine hundred sixty-eight".