51460164 has 96 divisors (see below), whose sum is σ = 156119040. Its totient is φ = 14351904.

The previous prime is 51460153. The next prime is 51460183. The reversal of 51460164 is 46106415.

51460164 is a `hidden beast` number, since 51 + 4 + 601 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31717 + ... + 33299.

It is an arithmetic number, because the mean of its divisors is an integer number (1626240).

Almost surely, 2^51460164 is an apocalyptic number.

51460164 is a gapful number since it is divisible by the number (54) 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 51460164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78059520).

51460164 is an abundant number, since it is smaller than the sum of its proper divisors (104658876).

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

51460164 is a wasteful number, since it uses less digits than its factorization.

51460164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51460164 is about 7173.5740046367. The cubic root of 51460164 is about 371.9549893512.

Adding to 51460164 its reverse (46106415), we get a palindrome (97566579).

The spelling of 51460164 in words is "fifty-one million, four hundred sixty thousand, one hundred sixty-four".