61876560 has 80 divisors (see below), whose sum is σ = 192666240. Its totient is φ = 16427520.

The previous prime is 61876523. The next prime is 61876621. The reversal of 61876560 is 6567816.

It is a tau number, because it is divible by the number of its divisors (80).

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, 74226 + ... + 75054.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2^61876560 is an apocalyptic number.

61876560 is a gapful number since it is divisible by the number (60) 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 61876560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96333120).

61876560 is an abundant number, since it is smaller than the sum of its proper divisors (130789680).

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

61876560 is a wasteful number, since it uses less digits than its factorization.

61876560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 61876560 is about 7866.1655207604. The cubic root of 61876560 is about 395.5263186366.

The spelling of 61876560 in words is "sixty-one million, eight hundred seventy-six thousand, five hundred sixty".