61269120 has 192 divisors, whose sum is σ = 231042240. Its totient is φ = 14837760.

The previous prime is 61269107. The next prime is 61269121. The reversal of 61269120 is 2196216.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (61269121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62877 + ... + 63843.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 2^61269120 is an apocalyptic number.

61269120 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 61269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115521120).

61269120 is an abundant number, since it is smaller than the sum of its proper divisors (169773120).

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

61269120 is a wasteful number, since it uses less digits than its factorization.

61269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61269120 is about 7827.4593579271. The cubic root of 61269120 is about 394.2277707632.

The spelling of 61269120 in words is "sixty-one million, two hundred sixty-nine thousand, one hundred twenty".