61542120 has 64 divisors (see below), whose sum is σ = 186390720. Its totient is φ = 16254464.

The previous prime is 61542119. The next prime is 61542149. The reversal of 61542120 is 2124516.

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, 10444 + ... + 15236.

It is an arithmetic number, because the mean of its divisors is an integer number (2912355).

Almost surely, 2^61542120 is an apocalyptic number.

61542120 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 61542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93195360).

61542120 is an abundant number, since it is smaller than the sum of its proper divisors (124848600).

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

61542120 is a wasteful number, since it uses less digits than its factorization.

61542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 61542120 is about 7844.8785841465. The cubic root of 61542120 is about 394.8124303060.

Adding to 61542120 its reverse (2124516), we get a palindrome (63666636).

The spelling of 61542120 in words is "sixty-one million, five hundred forty-two thousand, one hundred twenty".