54162800 has 120 divisors (see below), whose sum is σ = 138014976. Its totient is φ = 20401920.

The previous prime is 54162793. The next prime is 54162803. The reversal of 54162800 is 826145.

It is a self number, because there is not a number n which added to its sum of digits gives 54162800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54162803) 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, 808367 + ... + 808433.

Almost surely, 2^54162800 is an apocalyptic number.

54162800 is a gapful number since it is divisible by the number (50) 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 54162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69007488).

54162800 is an abundant number, since it is smaller than the sum of its proper divisors (83852176).

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

54162800 is a wasteful number, since it uses less digits than its factorization.

54162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 54162800 is about 7359.5380289798. The cubic root of 54162800 is about 378.3557767526.

Adding to 54162800 its reverse (826145), we get a palindrome (54988945).

The spelling of 54162800 in words is "fifty-four million, one hundred sixty-two thousand, eight hundred".