61523712 has 216 divisors, whose sum is σ = 196420224. Its totient is φ = 19160064.

The previous prime is 61523687. The next prime is 61523713. The reversal of 61523712 is 21732516.

It is a happy number.

61523712 is a `hidden beast` number, since 615 + 2 + 37 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61523713) 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 23 ways as a sum of consecutive naturals, for example, 1430763 + ... + 1430805.

Almost surely, 2^61523712 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 61523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98210112).

61523712 is an abundant number, since it is smaller than the sum of its proper divisors (134896512).

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

61523712 is an equidigital number, since it uses as much as digits as its factorization.

61523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 61523712 is about 7843.7052468843. The cubic root of 61523712 is about 394.7730619733.

The spelling of 61523712 in words is "sixty-one million, five hundred twenty-three thousand, seven hundred twelve".