51064000 has 112 divisors (see below), whose sum is σ = 136465056. Its totient is φ = 18816000.

The previous prime is 51063989. The next prime is 51064003. The reversal of 51064000 is 46015.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51064003) 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, 103755 + ... + 104245.

It is an arithmetic number, because the mean of its divisors is an integer number (1218438).

Almost surely, 2^51064000 is an apocalyptic number.

51064000 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 51064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68232528).

51064000 is an abundant number, since it is smaller than the sum of its proper divisors (85401056).

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

51064000 is a wasteful number, since it uses less digits than its factorization.

51064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 51064000 is about 7145.9079199217. The cubic root of 51064000 is about 370.9980359430.

The spelling of 51064000 in words is "fifty-one million, sixty-four thousand".