54153792 has 336 divisors, whose sum is σ = 205394560. Its totient is φ = 13685760.

The previous prime is 54153791. The next prime is 54153797. The reversal of 54153792 is 29735145.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (37800) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54153791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463598 + ... + 1463634.

Almost surely, 2^54153792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102697280).

54153792 is an abundant number, since it is smaller than the sum of its proper divisors (151240768).

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

54153792 is a wasteful number, since it uses less digits than its factorization.

54153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 54153792 is about 7358.9260085966. The cubic root of 54153792 is about 378.3348003764.

It can be divided in two parts, 54153 and 792, that added together give a palindrome (54945).

The spelling of 54153792 in words is "fifty-four million, one hundred fifty-three thousand, seven hundred ninety-two".