893660040 has 480 divisors, whose sum is σ = 3771555480. Its totient is φ = 188116992.

The previous prime is 893660017. The next prime is 893660057. The reversal of 893660040 is 40066398.

893660040 is a `hidden beast` number, since 8 + 9 + 3 + 6 + 600 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 361988676 + 531671364 = 19026^2 + 23058^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 893659977 and 893660004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2063664 + ... + 2064096.

Almost surely, 2^893660040 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 893660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885777740).

893660040 is an abundant number, since it is smaller than the sum of its proper divisors (2877895440).

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

893660040 is a wasteful number, since it uses less digits than its factorization.

893660040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 893660040 is about 29894.1472532668. The cubic root of 893660040 is about 963.2169424188.

The spelling of 893660040 in words is "eight hundred ninety-three million, six hundred sixty thousand, forty".