61887456 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 20356992.

The previous prime is 61887443. The next prime is 61887467. The reversal of 61887456 is 65478816.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71281 + ... + 72143.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^61887456 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 61887456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

61887456 is an abundant number, since it is smaller than the sum of its proper divisors (121004064).

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

61887456 is a wasteful number, since it uses less digits than its factorization.

61887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 61887456 is about 7866.8580767674. The cubic root of 61887456 is about 395.5495336840.

The spelling of 61887456 in words is "sixty-one million, eight hundred eighty-seven thousand, four hundred fifty-six".