61748064 has 144 divisors (see below), whose sum is σ = 203243040. Its totient is φ = 17418240.

The previous prime is 61748051. The next prime is 61748087. The reversal of 61748064 is 46084716.

61748064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

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, 219604 + ... + 219884.

It is an arithmetic number, because the mean of its divisors is an integer number (1411410).

Almost surely, 2^61748064 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 61748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101621520).

61748064 is an abundant number, since it is smaller than the sum of its proper divisors (141494976).

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

61748064 is a wasteful number, since it uses less digits than its factorization.

61748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 61748064 is about 7857.9936370552. The cubic root of 61748064 is about 395.2523388969.

It can be divided in two parts, 6174 and 8064, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 61748064 in words is "sixty-one million, seven hundred forty-eight thousand, sixty-four".