61696800 has 432 divisors, whose sum is σ = 255921120. Its totient is φ = 13824000.

The previous prime is 61696793. The next prime is 61696807. The reversal of 61696800 is 869616.

61696800 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 (61696793) and next prime (61696807).

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

It is not an unprimeable number, because it can be changed into a prime (61696807) 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 71 ways as a sum of consecutive naturals, for example, 1504780 + ... + 1504820.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^61696800 is an apocalyptic number.

61696800 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 61696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560).

61696800 is an abundant number, since it is smaller than the sum of its proper divisors (194224320).

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

61696800 is a wasteful number, since it uses less digits than its factorization.

61696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61696800 is about 7854.7310584131. The cubic root of 61696800 is about 395.1429275000.

The spelling of 61696800 in words is "sixty-one million, six hundred ninety-six thousand, eight hundred".