60291200 has 96 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 23720960.

The previous prime is 60291149. The next prime is 60291221. The reversal of 60291200 is 219206.

60291200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265487 + ... + 265713.

Almost surely, 2^60291200 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 60291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

60291200 is an abundant number, since it is smaller than the sum of its proper divisors (91105360).

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

60291200 is a wasteful number, since it uses less digits than its factorization.

60291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 60291200 is about 7764.7408198857. The cubic root of 60291200 is about 392.1190808568.

The spelling of 60291200 in words is "sixty million, two hundred ninety-one thousand, two hundred".