61416576 has 128 divisors (see below), whose sum is σ = 195350400. Its totient is φ = 18883584.

The previous prime is 61416541. The next prime is 61416629. The reversal of 61416576 is 67561416.

It is a tau number, because it is divible by the number of its divisors (128).

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 61416576.

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, 44245 + ... + 45611.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^61416576 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 61416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97675200).

61416576 is an abundant number, since it is smaller than the sum of its proper divisors (133933824).

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

61416576 is a wasteful number, since it uses less digits than its factorization.

61416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1385 counting only the distinct ones).

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

The square root of 61416576 is about 7836.8728457211. The cubic root of 61416576 is about 394.5437792066.

The spelling of 61416576 in words is "sixty-one million, four hundred sixteen thousand, five hundred seventy-six".