61564752 has 160 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 18892800.

The previous prime is 61564733. The next prime is 61564787. The reversal of 61564752 is 25746516.

It is a happy number.

61564752 is a `hidden beast` number, since 6 + 1 + 5 + 647 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609502 + ... + 609602.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 2^61564752 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 61564752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

61564752 is an abundant number, since it is smaller than the sum of its proper divisors (129673008).

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

61564752 is a wasteful number, since it uses less digits than its factorization.

61564752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 61564752 is about 7846.3209212981. The cubic root of 61564752 is about 394.8608215531.

The spelling of 61564752 in words is "sixty-one million, five hundred sixty-four thousand, seven hundred fifty-two".