61182720 has 216 divisors, whose sum is σ = 218102976. Its totient is φ = 15826944.

The previous prime is 61182713. The next prime is 61182727. The reversal of 61182720 is 2728116.

61182720 is a `hidden beast` number, since 611 + 8 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61182713) and next prime (61182727).

It is not an unprimeable number, because it can be changed into a prime (61182727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541384 + ... + 541496.

It is an arithmetic number, because the mean of its divisors is an integer number (1009736).

Almost surely, 2^61182720 is an apocalyptic number.

61182720 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 61182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109051488).

61182720 is an abundant number, since it is smaller than the sum of its proper divisors (156920256).

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

61182720 is a wasteful number, since it uses less digits than its factorization.

61182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61182720 is about 7821.9383786885. The cubic root of 61182720 is about 394.0423739287.

The spelling of 61182720 in words is "sixty-one million, one hundred eighty-two thousand, seven hundred twenty".