51584000 has 176 divisors, whose sum is σ = 143060736. Its totient is φ = 18432000.

The previous prime is 51583997. The next prime is 51584003. The reversal of 51584000 is 48515.

It is an interprime number because it is at equal distance from previous prime (51583997) and next prime (51584003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51584003) 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, 1663985 + ... + 1664015.

Almost surely, 2^51584000 is an apocalyptic number.

51584000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71530368).

51584000 is an abundant number, since it is smaller than the sum of its proper divisors (91476736).

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

51584000 is a wasteful number, since it uses less digits than its factorization.

51584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 51584000 is about 7182.2002199883. The cubic root of 51584000 is about 372.2531132832.

The spelling of 51584000 in words is "fifty-one million, five hundred eighty-four thousand".