60811200 has 252 divisors, whose sum is σ = 223558608. Its totient is φ = 15667200.

The previous prime is 60811189. The next prime is 60811207. The reversal of 60811200 is 211806.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60811207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590349 + ... + 590451.

Almost surely, 2^60811200 is an apocalyptic number.

60811200 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 60811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111779304).

60811200 is an abundant number, since it is smaller than the sum of its proper divisors (162747408).

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

60811200 is a wasteful number, since it uses less digits than its factorization.

60811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 60811200 is about 7798.1536276224. The cubic root of 60811200 is about 393.2431725423.

The spelling of 60811200 in words is "sixty million, eight hundred eleven thousand, two hundred".