51176664 has 256 divisors, whose sum is σ = 188697600. Its totient is φ = 12441600.

The previous prime is 51176663. The next prime is 51176669. The reversal of 51176664 is 46667115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51176663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282654 + ... + 282834.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^51176664 is an apocalyptic number.

51176664 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 51176664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

51176664 is an abundant number, since it is smaller than the sum of its proper divisors (137520936).

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

51176664 is a wasteful number, since it uses less digits than its factorization.

51176664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 51176664 is about 7153.7866895792. The cubic root of 51176664 is about 371.2706834717.

It can be divided in two parts, 5117 and 6664, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 51176664 in words is "fifty-one million, one hundred seventy-six thousand, six hundred sixty-four".