61689456 has 120 divisors (see below), whose sum is σ = 180189360. Its totient is φ = 19688448.

The previous prime is 61689443. The next prime is 61689491. The reversal of 61689456 is 65498616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450220 + ... + 450356.

It is an arithmetic number, because the mean of its divisors is an integer number (1501578).

Almost surely, 2^61689456 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 61689456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90094680).

61689456 is an abundant number, since it is smaller than the sum of its proper divisors (118499904).

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

61689456 is a wasteful number, since it uses less digits than its factorization.

61689456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 61689456 is about 7854.2635555474. The cubic root of 61689456 is about 395.1272484329.

The spelling of 61689456 in words is "sixty-one million, six hundred eighty-nine thousand, four hundred fifty-six".