61920600 has 192 divisors, whose sum is σ = 229271040. Its totient is φ = 13516800.

The previous prime is 61920581. The next prime is 61920659. The reversal of 61920600 is 602916.

61920600 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 (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96280 + ... + 96920.

It is an arithmetic number, because the mean of its divisors is an integer number (1194120).

Almost surely, 2^61920600 is an apocalyptic number.

61920600 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 61920600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114635520).

61920600 is an abundant number, since it is smaller than the sum of its proper divisors (167350440).

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

61920600 is a wasteful number, since it uses less digits than its factorization.

61920600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 61920600 is about 7868.9643537126. The cubic root of 61920600 is about 395.6201336349.

The spelling of 61920600 in words is "sixty-one million, nine hundred twenty thousand, six hundred".