61636480 has 64 divisors (see below), whose sum is σ = 148410000. Its totient is φ = 24477696.

The previous prime is 61636459. The next prime is 61636483. The reversal of 61636480 is 8463616.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61636483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123271 + ... + 123769.

Almost surely, 2^61636480 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 61636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74205000).

61636480 is an abundant number, since it is smaller than the sum of its proper divisors (86773520).

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

61636480 is a wasteful number, since it uses less digits than its factorization.

61636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 61636480 is about 7850.8903953628. The cubic root of 61636480 is about 395.0141104824.

The spelling of 61636480 in words is "sixty-one million, six hundred thirty-six thousand, four hundred eighty".