61965120 has 112 divisors (see below), whose sum is σ = 224869248. Its totient is φ = 14161920.

The previous prime is 61965097. The next prime is 61965139. The reversal of 61965120 is 2156916.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×61965120² = 7679352193228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2110 + ... + 11330.

Almost surely, 2^61965120 is an apocalyptic number.

61965120 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 61965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112434624).

61965120 is an abundant number, since it is smaller than the sum of its proper divisors (162904128).

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

61965120 is a wasteful number, since it uses less digits than its factorization.

61965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 61965120 is about 7871.7926801968. The cubic root of 61965120 is about 395.7149259381.

The spelling of 61965120 in words is "sixty-one million, nine hundred sixty-five thousand, one hundred twenty".