510673632 has 96 divisors (see below), whose sum is σ = 1543981824. Its totient is φ = 144768000.

The previous prime is 510673619. The next prime is 510673637. The reversal of 510673632 is 236376015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 510673593 and 510673602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510673637) 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, 85132 + ... + 90932.

It is an arithmetic number, because the mean of its divisors is an integer number (16083144).

Almost surely, 2^510673632 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 510673632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771990912).

510673632 is an abundant number, since it is smaller than the sum of its proper divisors (1033308192).

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

510673632 is a wasteful number, since it uses less digits than its factorization.

510673632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 510673632 is about 22598.0891227555. The cubic root of 510673632 is about 799.3085859387.

The spelling of 510673632 in words is "five hundred ten million, six hundred seventy-three thousand, six hundred thirty-two".