61147296 has 144 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 17442432.

The previous prime is 61147291. The next prime is 61147297. The reversal of 61147296 is 69274116.

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

It is a super-2 number, since 2×61147296² = 7477983616223232, 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 a self number, because there is not a number n which added to its sum of digits gives 61147296.

It is not an unprimeable number, because it can be changed into a prime (61147291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98475 + ... + 99093.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 2^61147296 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 61147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

61147296 is an abundant number, since it is smaller than the sum of its proper divisors (141964704).

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

61147296 is a wasteful number, since it uses less digits than its factorization.

61147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 631 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 61147296 is about 7819.6736504793. The cubic root of 61147296 is about 393.9663107752.

The spelling of 61147296 in words is "sixty-one million, one hundred forty-seven thousand, two hundred ninety-six".