61797120 has 432 divisors, whose sum is σ = 260977920. Its totient is φ = 12165120.

The previous prime is 61797119. The next prime is 61797121. The reversal of 61797120 is 2179716.

61797120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61797119) and next prime (61797121).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61797121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3252471 + ... + 3252489.

Almost surely, 2^61797120 is an apocalyptic number.

61797120 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 61797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

61797120 is an abundant number, since it is smaller than the sum of its proper divisors (199180800).

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

61797120 is a wasteful number, since it uses less digits than its factorization.

61797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 61797120 is about 7861.1144248128. The cubic root of 61797120 is about 395.3569811321.

The spelling of 61797120 in words is "sixty-one million, seven hundred ninety-seven thousand, one hundred twenty".