60288800 has 288 divisors, whose sum is σ = 188987904. Its totient is φ = 18432000.

The previous prime is 60288797. The next prime is 60288803. The reversal of 60288800 is 888206.

It is an interprime number because it is at equal distance from previous prime (60288797) and next prime (60288803).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (60288803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944785 + ... + 1944815.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^60288800 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 60288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

60288800 is an abundant number, since it is smaller than the sum of its proper divisors (128699104).

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

60288800 is a wasteful number, since it uses less digits than its factorization.

60288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 60288800 is about 7764.5862735886. The cubic root of 60288800 is about 392.1138777853.

The spelling of 60288800 in words is "sixty million, two hundred eighty-eight thousand, eight hundred".