61558752 has 48 divisors (see below), whose sum is σ = 162328320. Its totient is φ = 20426112.

The previous prime is 61558723. The next prime is 61558759. The reversal of 61558752 is 25785516.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61558752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61558759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21603 + ... + 24285.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2^61558752 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 61558752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81164160).

61558752 is an abundant number, since it is smaller than the sum of its proper divisors (100769568).

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

61558752 is a wasteful number, since it uses less digits than its factorization.

61558752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its digits is 84000, while the sum is 39.

The square root of 61558752 is about 7845.9385671824. The cubic root of 61558752 is about 394.8479936399.

The spelling of 61558752 in words is "sixty-one million, five hundred fifty-eight thousand, seven hundred fifty-two".