51678000 has 400 divisors, whose sum is σ = 210656160. Its totient is φ = 12096000.

The previous prime is 51677947. The next prime is 51678013. The reversal of 51678000 is 87615.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 1781986 + ... + 1782014.

Almost surely, 2^51678000 is an apocalyptic number.

51678000 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 51678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

51678000 is an abundant number, since it is smaller than the sum of its proper divisors (158978160).

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

51678000 is a wasteful number, since it uses less digits than its factorization.

51678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 51678000 is about 7188.7411971777. The cubic root of 51678000 is about 372.4790913598.

The spelling of 51678000 in words is "fifty-one million, six hundred seventy-eight thousand".