61748480 has 72 divisors (see below), whose sum is σ = 155752800. Its totient is φ = 23390208.

The previous prime is 61748443. The next prime is 61748507. The reversal of 61748480 is 8484716.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23051 + ... + 25589.

Almost surely, 2^61748480 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 61748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77876400).

61748480 is an abundant number, since it is smaller than the sum of its proper divisors (94004320).

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

61748480 is a wasteful number, since it uses less digits than its factorization.

61748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 61748480 is about 7858.0201068717. The cubic root of 61748480 is about 395.2532265069.

The spelling of 61748480 in words is "sixty-one million, seven hundred forty-eight thousand, four hundred eighty".