54406872 has 96 divisors (see below), whose sum is σ = 163079280. Its totient is φ = 16277760.

The previous prime is 54406867. The next prime is 54406873. The reversal of 54406872 is 27860445.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54406873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33847 + ... + 35417.

Almost surely, 2^54406872 is an apocalyptic number.

54406872 is a gapful number since it is divisible by the number (52) 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 54406872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81539640).

54406872 is an abundant number, since it is smaller than the sum of its proper divisors (108672408).

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

54406872 is a wasteful number, since it uses less digits than its factorization.

54406872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54406872 is about 7376.1014092812. The cubic root of 54406872 is about 378.9232491715.

It can be divided in two parts, 54406 and 872, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54406872 in words is "fifty-four million, four hundred six thousand, eight hundred seventy-two".