51602880 has 168 divisors, whose sum is σ = 190762128. Its totient is φ = 11784192.

The previous prime is 51602857. The next prime is 51602893. The reversal of 51602880 is 8820615.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×51602880³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46492 + ... + 47588.

Almost surely, 2^51602880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95381064).

51602880 is an abundant number, since it is smaller than the sum of its proper divisors (139159248).

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

51602880 is a wasteful number, since it uses less digits than its factorization.

51602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 51602880 is about 7183.5144602068. The cubic root of 51602880 is about 372.2985232392.

The spelling of 51602880 in words is "fifty-one million, six hundred two thousand, eight hundred eighty".