60506400 has 144 divisors (see below), whose sum is σ = 208674144. Its totient is φ = 15175680.

The previous prime is 60506377. The next prime is 60506401. The reversal of 60506400 is 460506.

It is a super-2 number, since 2×60506400² = 7322048881920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (60506401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40059 + ... + 41541.

It is an arithmetic number, because the mean of its divisors is an integer number (1449126).

Almost surely, 2^60506400 is an apocalyptic number.

60506400 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 60506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104337072).

60506400 is an abundant number, since it is smaller than the sum of its proper divisors (148167744).

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

60506400 is a wasteful number, since it uses less digits than its factorization.

60506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 60506400 is about 7778.5859897542. The cubic root of 60506400 is about 392.5850627706.

Adding to 60506400 its reverse (460506), we get a palindrome (60966906).

It can be divided in two parts, 60506 and 400, that added together give a palindrome (60906).

The spelling of 60506400 in words is "sixty million, five hundred six thousand, four hundred".