61407648 has 72 divisors (see below), whose sum is σ = 176904000. Its totient is φ = 20202624.

The previous prime is 61407641. The next prime is 61407649. The reversal of 61407648 is 84670416.

61407648 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (61407641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21403 + ... + 24101.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^61407648 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 61407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452000).

61407648 is an abundant number, since it is smaller than the sum of its proper divisors (115496352).

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

61407648 is a wasteful number, since it uses less digits than its factorization.

61407648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2783 counting only the distinct ones).

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

The square root of 61407648 is about 7836.3032100602. The cubic root of 61407648 is about 394.5246602771.

The spelling of 61407648 in words is "sixty-one million, four hundred seven thousand, six hundred forty-eight".