61546576 has 80 divisors (see below), whose sum is σ = 150490368. Its totient is φ = 23731200.

The previous prime is 61546561. The next prime is 61546591. The reversal of 61546576 is 67564516.

It is an interprime number because it is at equal distance from previous prime (61546561) and next prime (61546591).

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, 59181 + ... + 60211.

Almost surely, 2^61546576 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 61546576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75245184).

61546576 is an abundant number, since it is smaller than the sum of its proper divisors (88943792).

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

61546576 is a wasteful number, since it uses less digits than its factorization.

61546576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 61546576 is about 7845.1625859507. The cubic root of 61546576 is about 394.8219589655.

The spelling of 61546576 in words is "sixty-one million, five hundred forty-six thousand, five hundred seventy-six".