61617000 has 256 divisors, whose sum is σ = 215654400. Its totient is φ = 14572800.

The previous prime is 61616957. The next prime is 61617001. The reversal of 61617000 is 71616.

61617000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61617001) 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 63 ways as a sum of consecutive naturals, for example, 1310977 + ... + 1311023.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 2^61617000 is an apocalyptic number.

61617000 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 61617000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107827200).

61617000 is an abundant number, since it is smaller than the sum of its proper divisors (154037400).

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

61617000 is a wasteful number, since it uses less digits than its factorization.

61617000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 61617000 is about 7849.6496737116. The cubic root of 61617000 is about 394.9724918086.

Adding to 61617000 its reverse (71616), we get a palindrome (61688616).

The spelling of 61617000 in words is "sixty-one million, six hundred seventeen thousand".