869706240 has 320 divisors, whose sum is σ = 3101801472. Its totient is φ = 206438400.

The previous prime is 869706239. The next prime is 869706241. The reversal of 869706240 is 42607968.

869706240 = T₃₄₄ + T₃₄₅ + ... + T₁₇₃₈.

It is an interprime number because it is at equal distance from previous prime (869706239) and next prime (869706241).

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 869706192 and 869706201.

It is not an unprimeable number, because it can be changed into a prime (869706241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094900 + ... + 3095180.

Almost surely, 2^869706240 is an apocalyptic number.

869706240 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 869706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550900736).

869706240 is an abundant number, since it is smaller than the sum of its proper divisors (2232095232).

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

869706240 is a wasteful number, since it uses less digits than its factorization.

869706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 869706240 is about 29490.7822887084. The cubic root of 869706240 is about 954.5328124320.

The spelling of 869706240 in words is "eight hundred sixty-nine million, seven hundred six thousand, two hundred forty".