60134400 has 330 divisors, whose sum is σ = 230348910. Its totient is φ = 15482880.

The previous prime is 60134381. The next prime is 60134401. The reversal of 60134400 is 443106.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 56070144 = 2016^2 + 7488^2 .

It is a super-2 number, since 2×60134400² = 7232292126720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60134401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073586 + ... + 2073614.

It is an arithmetic number, because the mean of its divisors is an integer number (698027).

Almost surely, 2^60134400 is an apocalyptic number.

60134400 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 60134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115174455).

60134400 is an abundant number, since it is smaller than the sum of its proper divisors (170214510).

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

60134400 is a wasteful number, since it uses less digits than its factorization.

60134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 60134400 is about 7754.6373222737. The cubic root of 60134400 is about 391.7788562471.

Adding to 60134400 its reverse (443106), we get a palindrome (60577506).

The spelling of 60134400 in words is "sixty million, one hundred thirty-four thousand, four hundred".