51767040 has 288 divisors, whose sum is σ = 191612736. Its totient is φ = 11796480.

The previous prime is 51767029. The next prime is 51767047. The reversal of 51767040 is 4076715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51766989 and 51767007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51767047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848610 + ... + 848670.

It is an arithmetic number, because the mean of its divisors is an integer number (665322).

Almost surely, 2^51767040 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 51767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95806368).

51767040 is an abundant number, since it is smaller than the sum of its proper divisors (139845696).

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

51767040 is a wasteful number, since it uses less digits than its factorization.

51767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 51767040 is about 7194.9315493617. The cubic root of 51767040 is about 372.6928929045.

The spelling of 51767040 in words is "fifty-one million, seven hundred sixty-seven thousand, forty".