60612800 has 84 divisors (see below), whose sum is σ = 152787096. Its totient is φ = 23654400.

The previous prime is 60612791. The next prime is 60612809. The reversal of 60612800 is 821606.

It is an interprime number because it is at equal distance from previous prime (60612791) and next prime (60612809).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (60612809) 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 11 ways as a sum of consecutive naturals, for example, 68360 + ... + 69240.

It is an arithmetic number, because the mean of its divisors is an integer number (1818894).

Almost surely, 2^60612800 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 60612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76393548).

60612800 is an abundant number, since it is smaller than the sum of its proper divisors (92174296).

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

60612800 is a wasteful number, since it uses less digits than its factorization.

60612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 60612800 is about 7785.4222749958. The cubic root of 60612800 is about 392.8150472014.

The spelling of 60612800 in words is "sixty million, six hundred twelve thousand, eight hundred".