893909952 has 168 divisors, whose sum is σ = 2846557680. Its totient is φ = 274959360.

The previous prime is 893909923. The next prime is 893909953. The reversal of 893909952 is 259909398.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893909953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290502 + ... + 293562.

Almost surely, 2^893909952 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 893909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423278840).

893909952 is an abundant number, since it is smaller than the sum of its proper divisors (1952647728).

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

893909952 is a wasteful number, since it uses less digits than its factorization.

893909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The square root of 893909952 is about 29898.3269097119. The cubic root of 893909952 is about 963.3067219121.

The spelling of 893909952 in words is "eight hundred ninety-three million, nine hundred nine thousand, nine hundred fifty-two".