61206120 has 192 divisors, whose sum is σ = 215064720. Its totient is φ = 15040512.

The previous prime is 61206107. The next prime is 61206133. The reversal of 61206120 is 2160216.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61206107) and next prime (61206133).

It can be written as a sum of positive squares in 8 ways, for example, as 39917124 + 21288996 = 6318^2 + 4614^2 .

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 = 61206093 and 61206102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446692 + ... + 446828.

Almost surely, 2^61206120 is an apocalyptic number.

61206120 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 61206120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107532360).

61206120 is an abundant number, since it is smaller than the sum of its proper divisors (153858600).

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

61206120 is a wasteful number, since it uses less digits than its factorization.

61206120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61206120 is about 7823.4340286092. The cubic root of 61206120 is about 394.0926027967.

Adding to 61206120 its reverse (2160216), we get a palindrome (63366336).

The spelling of 61206120 in words is "sixty-one million, two hundred six thousand, one hundred twenty".