61967056 has 40 divisors (see below), whose sum is σ = 129098880. Its totient is φ = 28721664.

The previous prime is 61967041. The next prime is 61967071. The reversal of 61967056 is 65076916.

It is an interprime number because it is at equal distance from previous prime (61967041) and next prime (61967071).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12120 + ... + 16456.

It is an arithmetic number, because the mean of its divisors is an integer number (3227472).

Almost surely, 2^61967056 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 61967056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64549440).

61967056 is an abundant number, since it is smaller than the sum of its proper divisors (67131824).

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

61967056 is a wasteful number, since it uses less digits than its factorization.

61967056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4411 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 61967056 is about 7871.9156499546. The cubic root of 61967056 is about 395.7190470529.

The spelling of 61967056 in words is "sixty-one million, nine hundred sixty-seven thousand, fifty-six".