61884672 has 72 divisors (see below), whose sum is σ = 173412960. Its totient is φ = 19537920.

The previous prime is 61884661. The next prime is 61884673. The reversal of 61884672 is 27648816.

It is not an unprimeable number, because it can be changed into a prime (61884673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12472 + ... + 16712.

Almost surely, 2^61884672 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 61884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86706480).

61884672 is an abundant number, since it is smaller than the sum of its proper divisors (111528288).

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

61884672 is a wasteful number, since it uses less digits than its factorization.

61884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4265 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 61884672 is about 7866.6811299302. The cubic root of 61884672 is about 395.5436023451.

The spelling of 61884672 in words is "sixty-one million, eight hundred eighty-four thousand, six hundred seventy-two".