61480384 has 56 divisors (see below), whose sum is σ = 143235680. Its totient is φ = 25629696.

The previous prime is 61480379. The next prime is 61480387. The reversal of 61480384 is 48308416.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61480387) 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, 14722 + ... + 18430.

It is an arithmetic number, because the mean of its divisors is an integer number (2557780).

Almost surely, 2^61480384 is an apocalyptic number.

61480384 is a gapful number since it is divisible by the number (64) 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 61480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71617840).

61480384 is an abundant number, since it is smaller than the sum of its proper divisors (81755296).

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

61480384 is a wasteful number, since it uses less digits than its factorization.

61480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 61480384 is about 7840.9428004545. The cubic root of 61480384 is about 394.6803673922.

The spelling of 61480384 in words is "sixty-one million, four hundred eighty thousand, three hundred eighty-four".