852653760 has 224 divisors, whose sum is σ = 3194499072. Its totient is φ = 188559360.

The previous prime is 852653759. The next prime is 852653801. The reversal of 852653760 is 67356258.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206274 + ... + 210366.

Almost surely, 2^852653760 is an apocalyptic number.

852653760 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 852653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597249536).

852653760 is an abundant number, since it is smaller than the sum of its proper divisors (2341845312).

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

852653760 is a wasteful number, since it uses less digits than its factorization.

852653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 852653760 is about 29200.2356154878. The cubic root of 852653760 is about 948.2530258035.

The spelling of 852653760 in words is "eight hundred fifty-two million, six hundred fifty-three thousand, seven hundred sixty".