51654240 has 192 divisors, whose sum is σ = 197406720. Its totient is φ = 12510720.

The previous prime is 51654203. The next prime is 51654271. The reversal of 51654240 is 4245615.

51654240 is a `hidden beast` number, since 5 + 1 + 654 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46977 + ... + 48063.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^51654240 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 51654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

51654240 is an abundant number, since it is smaller than the sum of its proper divisors (145752480).

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

51654240 is a wasteful number, since it uses less digits than its factorization.

51654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 51654240 is about 7187.0884229986. The cubic root of 51654240 is about 372.4219976907.

Adding to 51654240 its reverse (4245615), we get a palindrome (55899855).

It can be divided in two parts, 516 and 54240, that added together give a square (54756 = 234²).

The spelling of 51654240 in words is "fifty-one million, six hundred fifty-four thousand, two hundred forty".