61332480 has 264 divisors, whose sum is σ = 233751024. Its totient is φ = 14868480.

The previous prime is 61332473. The next prime is 61332487. The reversal of 61332480 is 8423316.

It is a happy number.

61332480 is a `hidden beast` number, since 613 + 3 + 2 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61332473) and next prime (61332487).

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61332487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5575675 + ... + 5575685.

Almost surely, 2^61332480 is an apocalyptic number.

61332480 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 61332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116875512).

61332480 is an abundant number, since it is smaller than the sum of its proper divisors (172418544).

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

61332480 is a wasteful number, since it uses less digits than its factorization.

61332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61332480 is about 7831.5056023730. The cubic root of 61332480 is about 394.3636176970.

Adding to 61332480 its reverse (8423316), we get a palindrome (69755796).

The spelling of 61332480 in words is "sixty-one million, three hundred thirty-two thousand, four hundred eighty".