701952 has 40 divisors (see below), whose sum is σ = 1874136. Its totient is φ = 233472.

The previous prime is 701951. The next prime is 701957. The reversal of 701952 is 259107.

It is a super-2 number, since 2×701952² = 985473220608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 701952.

It is not an unprimeable number, because it can be changed into a prime (701951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1308 + ... + 1764.

2⁷⁰¹⁹⁵² 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 701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937068).

701952 is an abundant number, since it is smaller than the sum of its proper divisors (1172184).

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

701952 is an equidigital number, since it uses as much as digits as its factorization.

701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 701952 is about 837.8257575415. The cubic root of 701952 is about 88.8728563677.

It can be divided in two parts, 701 and 952, that added together give a triangular number (1653 = T₅₇).

The spelling of 701952 in words is "seven hundred one thousand, nine hundred fifty-two".