54693144 has 80 divisors (see below), whose sum is σ = 167139720. Its totient is φ = 16571520.

The previous prime is 54693143. The next prime is 54693161. The reversal of 54693144 is 44139645.

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

It is a junction number, because it is equal to n+sod(n) for n = 54693099 and 54693108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54693143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3292 + ... + 10964.

Almost surely, 2^54693144 is an apocalyptic number.

54693144 is a gapful number since it is divisible by the number (54) 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 54693144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83569860).

54693144 is an abundant number, since it is smaller than the sum of its proper divisors (112446576).

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

54693144 is a wasteful number, since it uses less digits than its factorization.

54693144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7689 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 54693144 is about 7395.4813230783. The cubic root of 54693144 is about 379.5866789462.

The spelling of 54693144 in words is "fifty-four million, six hundred ninety-three thousand, one hundred forty-four".