802993536 has 96 divisors (see below), whose sum is σ = 2373274800. Its totient is φ = 260416512.

The previous prime is 802993519. The next prime is 802993537. The reversal of 802993536 is 635399208.

802993536 is a `hidden beast` number, since 8 + 0 + 29 + 93 + 536 = 666.

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 = 802993491 and 802993500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802993537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33205 + ... + 52043.

Almost surely, 2^802993536 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 802993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186637400).

802993536 is an abundant number, since it is smaller than the sum of its proper divisors (1570281264).

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

802993536 is a wasteful number, since it uses less digits than its factorization.

802993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18896 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 802993536 is about 28337.1405755768. The cubic root of 802993536 is about 929.4742224041.

The spelling of 802993536 in words is "eight hundred two million, nine hundred ninety-three thousand, five hundred thirty-six".