61456512 has 96 divisors (see below), whose sum is σ = 176953680. Its totient is φ = 18889728.

The previous prime is 61456511. The next prime is 61456531. The reversal of 61456512 is 21565416.

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

It is a super-2 number, since 2×61456512² = 7553805734412288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61456512.

It is not an unprimeable number, because it can be changed into a prime (61456511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64423 + ... + 65369.

Almost surely, 2^61456512 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 61456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88476840).

61456512 is an abundant number, since it is smaller than the sum of its proper divisors (115497168).

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

61456512 is a wasteful number, since it uses less digits than its factorization.

61456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 965 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 61456512 is about 7839.4203867378. The cubic root of 61456512 is about 394.6292777664.

The spelling of 61456512 in words is "sixty-one million, four hundred fifty-six thousand, five hundred twelve".