61566480 has 120 divisors (see below), whose sum is σ = 214486272. Its totient is φ = 16412544.

The previous prime is 61566473. The next prime is 61566487. The reversal of 61566480 is 8466516.

61566480 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 648 + 0 = 666.

61566480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61566473) and next prime (61566487).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (61566487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17857 + ... + 21023.

Almost surely, 2^61566480 is an apocalyptic number.

61566480 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 61566480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

61566480 is an abundant number, since it is smaller than the sum of its proper divisors (152919792).

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

61566480 is a wasteful number, since it uses less digits than its factorization.

61566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 61566480 is about 7846.4310358277. The cubic root of 61566480 is about 394.8645158376.

Adding to 61566480 its sum of digits (36), we get a palindrome (61566516).

The spelling of 61566480 in words is "sixty-one million, five hundred sixty-six thousand, four hundred eighty".