54971640 has 96 divisors (see below), whose sum is σ = 183530880. Its totient is φ = 14259456.

The previous prime is 54971639. The next prime is 54971641. The reversal of 54971640 is 4617945.

54971640 is a `hidden beast` number, since 5 + 4 + 9 + 7 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (54971639) and next prime (54971641).

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

It is a junction number, because it is equal to n+sod(n) for n = 54971595 and 54971604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54971641) 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, 11257 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (1911780).

Almost surely, 2^54971640 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 54971640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91765440).

54971640 is an abundant number, since it is smaller than the sum of its proper divisors (128559240).

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

54971640 is a wasteful number, since it uses less digits than its factorization.

54971640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54971640 is about 7414.2862097440. The cubic root of 54971640 is about 380.2298701522.

It can be divided in two parts, 54971 and 640, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 54971640 in words is "fifty-four million, nine hundred seventy-one thousand, six hundred forty".