61461576 has 96 divisors (see below), whose sum is σ = 184317120. Its totient is φ = 18345600.

The previous prime is 61461563. The next prime is 61461601. The reversal of 61461576 is 67516416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61461576.

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, 55686 + ... + 56778.

It is an arithmetic number, because the mean of its divisors is an integer number (1919970).

Almost surely, 2^61461576 is an apocalyptic number.

61461576 is a gapful number since it is divisible by the number (66) 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 61461576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92158560).

61461576 is an abundant number, since it is smaller than the sum of its proper divisors (122855544).

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

61461576 is a wasteful number, since it uses less digits than its factorization.

61461576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 61461576 is about 7839.7433631465. The cubic root of 61461576 is about 394.6401165840.

The spelling of 61461576 in words is "sixty-one million, four hundred sixty-one thousand, five hundred seventy-six".