51832320 has 160 divisors (see below), whose sum is σ = 175890528. Its totient is φ = 12976128.

The previous prime is 51832307. The next prime is 51832321. The reversal of 51832320 is 2323815.

51832320 = T₁₆₉ + T₁₇₀ + ... + T₆₈₀.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51832321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130362 + ... + 130758.

Almost surely, 2^51832320 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 51832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87945264).

51832320 is an abundant number, since it is smaller than the sum of its proper divisors (124058208).

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

51832320 is a wasteful number, since it uses less digits than its factorization.

51832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51832320 is about 7199.4666469121. The cubic root of 51832320 is about 372.8494865754.

It can be divided in two parts, 5183 and 2320, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 51832320 in words is "fifty-one million, eight hundred thirty-two thousand, three hundred twenty".