61687296 has 120 divisors (see below), whose sum is σ = 194378184. Its totient is φ = 18677760.

The previous prime is 61687291. The next prime is 61687313. The reversal of 61687296 is 69278616.

61687296 is a `hidden beast` number, since 616 + 8 + 7 + 29 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61687291) 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, 50080 + ... + 51296.

Almost surely, 2^61687296 is an apocalyptic number.

61687296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97189092).

61687296 is an abundant number, since it is smaller than the sum of its proper divisors (132690888).

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

61687296 is a wasteful number, since it uses less digits than its factorization.

61687296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1233 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 61687296 is about 7854.1260494087. The cubic root of 61687296 is about 395.1226367057.

The spelling of 61687296 in words is "sixty-one million, six hundred eighty-seven thousand, two hundred ninety-six".