61410960 has 220 divisors, whose sum is σ = 230644092. Its totient is φ = 15116544.

The previous prime is 61410911. The next prime is 61410997. The reversal of 61410960 is 6901416.

It can be written as a sum of positive squares in 2 ways, for example, as 15116544 + 46294416 = 3888^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 4723914 + ... + 4723926.

Almost surely, 2^61410960 is an apocalyptic number.

61410960 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 61410960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322046).

61410960 is an abundant number, since it is smaller than the sum of its proper divisors (169233132).

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

61410960 is an equidigital number, since it uses as much as digits as its factorization.

61410960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61410960 is about 7836.5145313462. The cubic root of 61410960 is about 394.5317529994.

The spelling of 61410960 in words is "sixty-one million, four hundred ten thousand, nine hundred sixty".