60261600 has 288 divisors, whose sum is σ = 238484736. Its totient is φ = 12902400.

The previous prime is 60261571. The next prime is 60261611. The reversal of 60261600 is 616206.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 285495 + ... + 285705.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 2^60261600 is an apocalyptic number.

60261600 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 60261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119242368).

60261600 is an abundant number, since it is smaller than the sum of its proper divisors (178223136).

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

60261600 is a wasteful number, since it uses less digits than its factorization.

60261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 60261600 is about 7762.8345338542. The cubic root of 60261600 is about 392.0548999882.

Adding to 60261600 its reverse (616206), we get a palindrome (60877806).

It can be divided in two parts, 6026 and 1600, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 60261600 in words is "sixty million, two hundred sixty-one thousand, six hundred".