870435072 has 180 divisors, whose sum is σ = 2795997820. Its totient is φ = 267743232.

The previous prime is 870435031. The next prime is 870435073. The reversal of 870435072 is 270534078.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 679332096 = 13824^2 + 26064^2 .

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

It is not an unprimeable number, because it can be changed into a prime (870435073) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 267954 + ... + 271182.

Almost surely, 2^870435072 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 870435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397998910).

870435072 is an abundant number, since it is smaller than the sum of its proper divisors (1925562748).

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

870435072 is a wasteful number, since it uses less digits than its factorization.

870435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 870435072 is about 29503.1366468042. The cubic root of 870435072 is about 954.7993774635.

The spelling of 870435072 in words is "eight hundred seventy million, four hundred thirty-five thousand, seventy-two".