61909120 has 128 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 19574784.

The previous prime is 61909117. The next prime is 61909151. The reversal of 61909120 is 2190916.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 57709 + ... + 58771.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^61909120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

61909120 is an abundant number, since it is smaller than the sum of its proper divisors (120417920).

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

61909120 is a wasteful number, since it uses less digits than its factorization.

61909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 61909120 is about 7868.2348719392. The cubic root of 61909120 is about 395.5956829682.

The spelling of 61909120 in words is "sixty-one million, nine hundred nine thousand, one hundred twenty".