61170120 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 13996800.

The previous prime is 61170119. The next prime is 61170127. The reversal of 61170120 is 2107116.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 61170093 and 61170102.

It is not an unprimeable number, because it can be changed into a prime (61170127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225585 + ... + 225855.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^61170120 is an apocalyptic number.

61170120 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 61170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

61170120 is an abundant number, since it is smaller than the sum of its proper divisors (173837880).

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

61170120 is a wasteful number, since it uses less digits than its factorization.

61170120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 61170120 is about 7821.1329102631. The cubic root of 61170120 is about 394.0153223103.

Adding to 61170120 its reverse (2107116), we get a palindrome (63277236).

The spelling of 61170120 in words is "sixty-one million, one hundred seventy thousand, one hundred twenty".