60253200 has 240 divisors, whose sum is σ = 245400960. Its totient is φ = 13754880.

The previous prime is 60253183. The next prime is 60253211. The reversal of 60253200 is 235206.

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

It is a super-2 number, since 2×60253200² = 7260896220480000, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75202 + ... + 75998.

It is an arithmetic number, because the mean of its divisors is an integer number (1022504).

Almost surely, 2^60253200 is an apocalyptic number.

60253200 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 60253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122700480).

60253200 is an abundant number, since it is smaller than the sum of its proper divisors (185147760).

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

60253200 is a wasteful number, since it uses less digits than its factorization.

60253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 60253200 is about 7762.2934755135. The cubic root of 60253200 is about 392.0366826702.

Adding to 60253200 its reverse (235206), we get a palindrome (60488406).

The spelling of 60253200 in words is "sixty million, two hundred fifty-three thousand, two hundred".