61119648 has 72 divisors (see below), whose sum is σ = 181385568. Its totient is φ = 19485312.

The previous prime is 61119647. The next prime is 61119649. The reversal of 61119648 is 84691116.

It is a happy number.

61119648 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 9 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (61119647) and next prime (61119649).

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

It is a super-2 number, since 2×61119648² = 7471222743287808, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61119647) 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 11 ways as a sum of consecutive naturals, for example, 2011 + ... + 11237.

It is an arithmetic number, because the mean of its divisors is an integer number (2519244).

Almost surely, 2^61119648 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 61119648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90692784).

61119648 is an abundant number, since it is smaller than the sum of its proper divisors (120265920).

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

61119648 is a wasteful number, since it uses less digits than its factorization.

61119648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 9255 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 61119648 is about 7817.9056018860. The cubic root of 61119648 is about 393.9069239974.

The spelling of 61119648 in words is "sixty-one million, one hundred nineteen thousand, six hundred forty-eight".