61090656 has 192 divisors, whose sum is σ = 192036096. Its totient is φ = 16793600.

The previous prime is 61090651. The next prime is 61090669. The reversal of 61090656 is 65609016.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61090651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735991 + ... + 736073.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 2^61090656 is an apocalyptic number.

61090656 is a gapful number since it is divisible by the number (66) 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 61090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96018048).

61090656 is an abundant number, since it is smaller than the sum of its proper divisors (130945440).

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

61090656 is a wasteful number, since it uses less digits than its factorization.

61090656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 61090656 is about 7816.0511769051. The cubic root of 61090656 is about 393.8446311227.

The spelling of 61090656 in words is "sixty-one million, ninety thousand, six hundred fifty-six".