51743664 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 14515200.

The previous prime is 51743639. The next prime is 51743687. The reversal of 51743664 is 46634715.

It is a happy number.

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

Its product of digits (60480) is a multiple of the sum of its prime factors (336).

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, 214584 + ... + 214824.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^51743664 is an apocalyptic number.

51743664 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 51743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

51743664 is an abundant number, since it is smaller than the sum of its proper divisors (121102416).

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

51743664 is a wasteful number, since it uses less digits than its factorization.

51743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 51743664 is about 7193.3068890462. The cubic root of 51743664 is about 372.6367865433.

The spelling of 51743664 in words is "fifty-one million, seven hundred forty-three thousand, six hundred sixty-four".