61610976 has 192 divisors, whose sum is σ = 209986560. Its totient is φ = 17210880.

The previous prime is 61610971. The next prime is 61611023. The reversal of 61610976 is 67901616.

61610976 = T₁₅₃ + T₁₅₄ + ... + T₇₁₉.

61610976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61610976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61610971) 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 31 ways as a sum of consecutive naturals, for example, 368845 + ... + 369011.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^61610976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61610976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

61610976 is an abundant number, since it is smaller than the sum of its proper divisors (148375584).

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

61610976 is a wasteful number, since it uses less digits than its factorization.

61610976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 61610976 is about 7849.2659529411. The cubic root of 61610976 is about 394.9596198640.

The spelling of 61610976 in words is "sixty-one million, six hundred ten thousand, nine hundred seventy-six".