51068400 has 60 divisors (see below), whose sum is σ = 163592952. Its totient is φ = 13617920.

The previous prime is 51068387. The next prime is 51068401. The reversal of 51068400 is 486015.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51068401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20079 + ... + 22478.

Almost surely, 2^51068400 is an apocalyptic number.

51068400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51068400 is an abundant number, since it is smaller than the sum of its proper divisors (112524552).

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

51068400 is a wasteful number, since it uses less digits than its factorization.

51068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42578 (or 42567 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51068400 is about 7146.2157817967. The cubic root of 51068400 is about 371.0086914895.

The spelling of 51068400 in words is "fifty-one million, sixty-eight thousand, four hundred".