60638400 has 126 divisors (see below), whose sum is σ = 215574372. Its totient is φ = 16166400.

The previous prime is 60638393. The next prime is 60638407. The reversal of 60638400 is 483606.

It is an interprime number because it is at equal distance from previous prime (60638393) and next prime (60638407).

It is not an unprimeable number, because it can be changed into a prime (60638407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12295 + ... + 16505.

Almost surely, 2^60638400 is an apocalyptic number.

60638400 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 60638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107787186).

60638400 is an abundant number, since it is smaller than the sum of its proper divisors (154935972).

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

60638400 is a wasteful number, since it uses less digits than its factorization.

60638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 60638400 is about 7787.0661997957. The cubic root of 60638400 is about 392.8703416266.

The spelling of 60638400 in words is "sixty million, six hundred thirty-eight thousand, four hundred".