61535904 has 48 divisors (see below), whose sum is σ = 162479520. Its totient is φ = 20391680.

The previous prime is 61535893. The next prime is 61535911. The reversal of 61535904 is 40953516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15394 + ... + 18974.

It is an arithmetic number, because the mean of its divisors is an integer number (3384990).

Almost surely, 2^61535904 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 61535904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81239760).

61535904 is an abundant number, since it is smaller than the sum of its proper divisors (100943616).

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

61535904 is a wasteful number, since it uses less digits than its factorization.

61535904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 61535904 is about 7844.4823921021. The cubic root of 61535904 is about 394.7991373141.

The spelling of 61535904 in words is "sixty-one million, five hundred thirty-five thousand, nine hundred four".