61969600 has 168 divisors, whose sum is σ = 190487808. Its totient is φ = 19276800.

The previous prime is 61969559. The next prime is 61969619. The reversal of 61969600 is 696916.

It is a self number, because there is not a number n which added to its sum of digits gives 61969600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 122949 + ... + 123451.

It is an arithmetic number, because the mean of its divisors is an integer number (1133856).

Almost surely, 2^61969600 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 61969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

61969600 is an abundant number, since it is smaller than the sum of its proper divisors (128518208).

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

61969600 is a wasteful number, since it uses less digits than its factorization.

61969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 61969600 is about 7872.0772353935. The cubic root of 61969600 is about 395.7244622715.

The spelling of 61969600 in words is "sixty-one million, nine hundred sixty-nine thousand, six hundred".