61955712 has 256 divisors, whose sum is σ = 226195200. Its totient is φ = 16257024.

The previous prime is 61955711. The next prime is 61955717. The reversal of 61955712 is 21755916.

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

It is not an unprimeable number, because it can be changed into a prime (61955711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314398 + ... + 314594.

It is an arithmetic number, because the mean of its divisors is an integer number (883575).

Almost surely, 2^61955712 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 61955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

61955712 is an abundant number, since it is smaller than the sum of its proper divisors (164239488).

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

61955712 is a wasteful number, since it uses less digits than its factorization.

61955712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 61955712 is about 7871.1950807994. The cubic root of 61955712 is about 395.6948981415.

The spelling of 61955712 in words is "sixty-one million, nine hundred fifty-five thousand, seven hundred twelve".