61267968 has 112 divisors (see below), whose sum is σ = 182178960. Its totient is φ = 20348928.

The previous prime is 61267963. The next prime is 61268023. The reversal of 61267968 is 86976216.

It is a super-3 number, since 3×61267968³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61267961) 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, 221046 + ... + 221322.

Almost surely, 2^61267968 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 61267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91089480).

61267968 is an abundant number, since it is smaller than the sum of its proper divisors (120910992).

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

61267968 is an equidigital number, since it uses as much as digits as its factorization.

61267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

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

The square root of 61267968 is about 7827.3857704856. The cubic root of 61267968 is about 394.2252999523.

The spelling of 61267968 in words is "sixty-one million, two hundred sixty-seven thousand, nine hundred sixty-eight".