54355356 has 72 divisors (see below), whose sum is σ = 150709104. Its totient is φ = 16381440.

The previous prime is 54355339. The next prime is 54355361. The reversal of 54355356 is 65355345.

54355356 is a `hidden beast` number, since 54 + 3 + 553 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54355356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125316 + ... + 125748.

It is an arithmetic number, because the mean of its divisors is an integer number (2093182).

Almost surely, 2^54355356 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 54355356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75354552).

54355356 is an abundant number, since it is smaller than the sum of its proper divisors (96353748).

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

54355356 is a wasteful number, since it uses less digits than its factorization.

54355356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 54355356 is about 7372.6084936066. The cubic root of 54355356 is about 378.8036149307.

The spelling of 54355356 in words is "fifty-four million, three hundred fifty-five thousand, three hundred fifty-six".