54803840 has 128 divisors (see below), whose sum is σ = 161421120. Its totient is φ = 17326080.

The previous prime is 54803813. The next prime is 54803843. The reversal of 54803840 is 4830845.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 54803797 and 54803806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54803843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57770 + ... + 58710.

Almost surely, 2^54803840 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 54803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80710560).

54803840 is an abundant number, since it is smaller than the sum of its proper divisors (106617280).

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

54803840 is a wasteful number, since it uses less digits than its factorization.

54803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 54803840 is about 7402.9615695342. The cubic root of 54803840 is about 379.8425940871.

The spelling of 54803840 in words is "fifty-four million, eight hundred three thousand, eight hundred forty".