61343120 has 80 divisors (see below), whose sum is σ = 149387760. Its totient is φ = 23396352.

The previous prime is 61343111. The next prime is 61343137. The reversal of 61343120 is 2134316.

It can be written as a sum of positive squares in 8 ways, for example, as 1373584 + 59969536 = 1172^2 + 7744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 61343092 and 61343101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317744 + ... + 317936.

It is an arithmetic number, because the mean of its divisors is an integer number (1867347).

Almost surely, 2^61343120 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 61343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74693880).

61343120 is an abundant number, since it is smaller than the sum of its proper divisors (88044640).

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

61343120 is a wasteful number, since it uses less digits than its factorization.

61343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 61343120 is about 7832.1848803511. The cubic root of 61343120 is about 394.3864212006.

Adding to 61343120 its reverse (2134316), we get a palindrome (63477436).

The spelling of 61343120 in words is "sixty-one million, three hundred forty-three thousand, one hundred twenty".