61764080 has 80 divisors (see below), whose sum is σ = 167292864. Its totient is φ = 20766720.

The previous prime is 61764067. The next prime is 61764097. The reversal of 61764080 is 8046716.

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, 28640 + ... + 30720.

Almost surely, 2^61764080 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 61764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83646432).

61764080 is an abundant number, since it is smaller than the sum of its proper divisors (105528784).

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

61764080 is a wasteful number, since it uses less digits than its factorization.

61764080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 61764080 is about 7859.0126606336. The cubic root of 61764080 is about 395.2865090058.

The spelling of 61764080 in words is "sixty-one million, seven hundred sixty-four thousand, eighty".