54540000 has 240 divisors, whose sum is σ = 200748240. Its totient is φ = 14400000.

The previous prime is 54539993. The next prime is 54540007. The reversal of 54540000 is 4545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54539993) and next prime (54540007).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54540000² = 5949223200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54540007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539950 + ... + 540050.

It is an arithmetic number, because the mean of its divisors is an integer number (836451).

Almost surely, 2^54540000 is an apocalyptic number.

54540000 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 54540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374120).

54540000 is an abundant number, since it is smaller than the sum of its proper divisors (146208240).

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

54540000 is a wasteful number, since it uses less digits than its factorization.

54540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54540000 is about 7385.1201750547. The cubic root of 54540000 is about 379.2320594590.

Adding to 54540000 its reverse (4545), we get a palindrome (54544545).

It can be divided in two parts, 54 and 540000, that multiplied together give a square (29160000 = 5400²).

The spelling of 54540000 in words is "fifty-four million, five hundred forty thousand".