61294752 has 96 divisors (see below), whose sum is σ = 181863360. Its totient is φ = 20079360.

The previous prime is 61294711. The next prime is 61294763. The reversal of 61294752 is 25749216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52123 + ... + 53285.

It is an arithmetic number, because the mean of its divisors is an integer number (1894410).

Almost surely, 2^61294752 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 61294752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90931680).

61294752 is an abundant number, since it is smaller than the sum of its proper divisors (120568608).

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

61294752 is a wasteful number, since it uses less digits than its factorization.

61294752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 61294752 is about 7829.0964995969. The cubic root of 61294752 is about 394.2827382978.

The spelling of 61294752 in words is "sixty-one million, two hundred ninety-four thousand, seven hundred fifty-two".