853673040 has 640 divisors, whose sum is σ = 3542630400. Its totient is φ = 186624000.

The previous prime is 853673039. The next prime is 853673047. The reversal of 853673040 is 40376358.

It is a happy number.

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 = 853672986 and 853673004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853673047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13994610 + ... + 13994670.

It is an arithmetic number, because the mean of its divisors is an integer number (5535360).

Almost surely, 2^853673040 is an apocalyptic number.

853673040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853673040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771315200).

853673040 is an abundant number, since it is smaller than the sum of its proper divisors (2688957360).

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

853673040 is a wasteful number, since it uses less digits than its factorization.

853673040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 853673040 is about 29217.6836864252. The cubic root of 853673040 is about 948.6307291208.

The spelling of 853673040 in words is "eight hundred fifty-three million, six hundred seventy-three thousand, forty".