61536040 has 64 divisors (see below), whose sum is σ = 145618560. Its totient is φ = 23358720.

The previous prime is 61536037. The next prime is 61536049. The reversal of 61536040 is 4063516.

It is a junction number, because it is equal to n+sod(n) for n = 61535996 and 61536014.

It is not an unprimeable number, because it can be changed into a prime (61536049) 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, 193962 + ... + 194278.

It is an arithmetic number, because the mean of its divisors is an integer number (2275290).

Almost surely, 2^61536040 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 61536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72809280).

61536040 is an abundant number, since it is smaller than the sum of its proper divisors (84082520).

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

61536040 is a wasteful number, since it uses less digits than its factorization.

61536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 61536040 is about 7844.4910606106. The cubic root of 61536040 is about 394.7994281614.

Adding to 61536040 its reverse (4063516), we get a palindrome (65599556).

The spelling of 61536040 in words is "sixty-one million, five hundred thirty-six thousand, forty".