60118800 has 240 divisors, whose sum is σ = 233592192. Its totient is φ = 12902400.

The previous prime is 60118787. The next prime is 60118813. The reversal of 60118800 is 881106.

It is an interprime number because it is at equal distance from previous prime (60118787) and next prime (60118813).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×60118800² = 7228540226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142590 + ... + 143010.

Almost surely, 2^60118800 is an apocalyptic number.

60118800 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 60118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116796096).

60118800 is an abundant number, since it is smaller than the sum of its proper divisors (173473392).

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

60118800 is a wasteful number, since it uses less digits than its factorization.

60118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 60118800 is about 7753.6314072827. The cubic root of 60118800 is about 391.7449750369.

Adding to 60118800 its reverse (881106), we get a palindrome (60999906).

The spelling of 60118800 in words is "sixty million, one hundred eighteen thousand, eight hundred".