700956144 has 240 divisors, whose sum is σ = 2320351488. Its totient is φ = 193425408.

The previous prime is 700956143. The next prime is 700956199. The reversal of 700956144 is 441659007.

It is a super-2 number, since 2×700956144² = 982679031622697472, which contains 22 as substring.

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 = 700956099 and 700956108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700956143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6550939 + ... + 6551045.

Almost surely, 2^700956144 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 700956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160175744).

700956144 is an abundant number, since it is smaller than the sum of its proper divisors (1619395344).

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

700956144 is a wasteful number, since it uses less digits than its factorization.

700956144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 700956144 is about 26475.5763676638. The cubic root of 700956144 is about 888.3080864273.

The spelling of 700956144 in words is "seven hundred million, nine hundred fifty-six thousand, one hundred forty-four".