61467648 has 176 divisors, whose sum is σ = 191009664. Its totient is φ = 17367040.

The previous prime is 61467629. The next prime is 61467649. The reversal of 61467648 is 84676416.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (61467649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 574411 + ... + 574517.

Almost surely, 2^61467648 is an apocalyptic number.

61467648 is a gapful number since it is divisible by the number (68) 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 61467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95504832).

61467648 is an abundant number, since it is smaller than the sum of its proper divisors (129542016).

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

61467648 is a wasteful number, since it uses less digits than its factorization.

61467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 61467648 is about 7840.1306111569. The cubic root of 61467648 is about 394.6531121065.

The spelling of 61467648 in words is "sixty-one million, four hundred sixty-seven thousand, six hundred forty-eight".