849174960 has 80 divisors (see below), whose sum is σ = 2648330496. Its totient is φ = 225080064.

The previous prime is 849174877. The next prime is 849174967. The reversal of 849174960 is 69471948.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×849174960² = 1442196225382003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (849174967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29487 + ... + 50673.

Almost surely, 2^849174960 is an apocalyptic number.

849174960 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 849174960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324165248).

849174960 is an abundant number, since it is smaller than the sum of its proper divisors (1799155536).

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

849174960 is a wasteful number, since it uses less digits than its factorization.

849174960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21370 (or 21364 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 849174960 is about 29140.6067198334. The cubic root of 849174960 is about 946.9616539763.

The spelling of 849174960 in words is "eight hundred forty-nine million, one hundred seventy-four thousand, nine hundred sixty".