61740120 has 128 divisors (see below), whose sum is σ = 210067200. Its totient is φ = 14390784.

The previous prime is 61740097. The next prime is 61740167. The reversal of 61740120 is 2104716.

61740120 = 438² + 439² + ... + 645².

It is a super-2 number, since 2×61740120² = 7623684835228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28599 + ... + 30681.

It is an arithmetic number, because the mean of its divisors is an integer number (1641150).

Almost surely, 2^61740120 is an apocalyptic number.

61740120 is a gapful number since it is divisible by the number (60) 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 61740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105033600).

61740120 is an abundant number, since it is smaller than the sum of its proper divisors (148327080).

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

61740120 is a wasteful number, since it uses less digits than its factorization.

61740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 61740120 is about 7857.4881482570. The cubic root of 61740120 is about 395.2353881941.

Adding to 61740120 its reverse (2104716), we get a palindrome (63844836).

The spelling of 61740120 in words is "sixty-one million, seven hundred forty thousand, one hundred twenty".