54657642 has 48 divisors (see below), whose sum is σ = 124644960. Its totient is φ = 15926976.

The previous prime is 54657641. The next prime is 54657643. The reversal of 54657642 is 24675645.

It is an interprime number because it is at equal distance from previous prime (54657641) and next prime (54657643).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 54657642.

It is not an unprimeable number, because it can be changed into a prime (54657641) 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, 17848 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (2596770).

Almost surely, 2^54657642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54657642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62322480).

54657642 is an abundant number, since it is smaller than the sum of its proper divisors (69987318).

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

54657642 is a wasteful number, since it uses less digits than its factorization.

54657642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2874 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 54657642 is about 7393.0806839909. The cubic root of 54657642 is about 379.5045296909.

The spelling of 54657642 in words is "fifty-four million, six hundred fifty-seven thousand, six hundred forty-two".