53954268 has 48 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 17262784.

The previous prime is 53954221. The next prime is 53954269. The reversal of 53954268 is 86245935.

It is a super-2 number, since 2×53954268² = 5822126070831648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53954269) 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, 78655 + ... + 79337.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160).

Almost surely, 2^53954268 is an apocalyptic number.

53954268 is a gapful number since it is divisible by the number (58) 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 53954268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

53954268 is an abundant number, since it is smaller than the sum of its proper divisors (77045412).

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

53954268 is a wasteful number, since it uses less digits than its factorization.

53954268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 53954268 is about 7345.3569007911. The cubic root of 53954268 is about 377.8695835191.

The spelling of 53954268 in words is "fifty-three million, nine hundred fifty-four thousand, two hundred sixty-eight".