51835680 has 288 divisors, whose sum is σ = 199221120. Its totient is φ = 12579840.

The previous prime is 51835661. The next prime is 51835687. The reversal of 51835680 is 8653815.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51835687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730045 + ... + 730115.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 2^51835680 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 51835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

51835680 is an abundant number, since it is smaller than the sum of its proper divisors (147385440).

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

51835680 is a wasteful number, since it uses less digits than its factorization.

51835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51835680 is about 7199.6999937497. The cubic root of 51835680 is about 372.8575429851.

The spelling of 51835680 in words is "fifty-one million, eight hundred thirty-five thousand, six hundred eighty".