54153600 has 96 divisors (see below), whose sum is σ = 178400040. Its totient is φ = 14438400.

The previous prime is 54153587. The next prime is 54153611. The reversal of 54153600 is 635145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54153600² = 5865224785920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6780 + ... + 12420.

Almost surely, 2^54153600 is an apocalyptic number.

54153600 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 54153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200020).

54153600 is an abundant number, since it is smaller than the sum of its proper divisors (124246440).

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

54153600 is a wasteful number, since it uses less digits than its factorization.

54153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54153600 is about 7358.9129632032. The cubic root of 54153600 is about 378.3343532525.

Adding to 54153600 its reverse (635145), we get a palindrome (54788745).

It can be divided in two parts, 54 and 153600, that multiplied together give a square (8294400 = 2880²).

The spelling of 54153600 in words is "fifty-four million, one hundred fifty-three thousand, six hundred".