61165440 has 384 divisors, whose sum is σ = 253955520. Its totient is φ = 13271040.

The previous prime is 61165409. The next prime is 61165457. The reversal of 61165440 is 4456116.

61165440 is a `hidden beast` number, since 6 + 1 + 1 + 654 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×61165440² = 7482422100787200, which contains 22 as substring.

It is a congruent number.

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, 1491820 + ... + 1491860.

Almost surely, 2^61165440 is an apocalyptic number.

61165440 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 61165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

61165440 is an abundant number, since it is smaller than the sum of its proper divisors (192790080).

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

61165440 is a wasteful number, since it uses less digits than its factorization.

61165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61165440 is about 7820.8337151483. The cubic root of 61165440 is about 394.0052736202.

The spelling of 61165440 in words is "sixty-one million, one hundred sixty-five thousand, four hundred forty".