61965528 has 64 divisors (see below), whose sum is σ = 164305920. Its totient is φ = 19440000.

The previous prime is 61965523. The next prime is 61965529. The reversal of 61965528 is 82556916.

It is a self number, because there is not a number n which added to its sum of digits gives 61965528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61965523) 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, 26403 + ... + 28653.

It is an arithmetic number, because the mean of its divisors is an integer number (2567280).

Almost surely, 2^61965528 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 61965528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82152960).

61965528 is an abundant number, since it is smaller than the sum of its proper divisors (102340392).

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

61965528 is a wasteful number, since it uses less digits than its factorization.

61965528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2324 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 61965528 is about 7871.8185954708. The cubic root of 61965528 is about 395.7157944446.

The spelling of 61965528 in words is "sixty-one million, nine hundred sixty-five thousand, five hundred twenty-eight".