61540752 has 160 divisors (see below), whose sum is σ = 199376128. Its totient is φ = 15925248.

The previous prime is 61540747. The next prime is 61540757. The reversal of 61540752 is 25704516.

It is an interprime number because it is at equal distance from previous prime (61540747) and next prime (61540757).

It is not an unprimeable number, because it can be changed into a prime (61540757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318768 + ... + 318960.

Almost surely, 2^61540752 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 61540752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99688064).

61540752 is an abundant number, since it is smaller than the sum of its proper divisors (137835376).

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

61540752 is a wasteful number, since it uses less digits than its factorization.

61540752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 61540752 is about 7844.7913930200. The cubic root of 61540752 is about 394.8095048981.

The spelling of 61540752 in words is "sixty-one million, five hundred forty thousand, seven hundred fifty-two".