701964 has 72 divisors (see below), whose sum is σ = 1991808. Its totient is φ = 207360.

The previous prime is 701963. The next prime is 701969. The reversal of 701964 is 469107.

701964 = T₁₇₆ + T₁₇₇ + ... + T₂₁₂.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 701964.

It is not an unprimeable number, because it can be changed into a prime (701963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18954 + ... + 18990.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2⁷⁰¹⁹⁶⁴ is an apocalyptic number.

701964 is a gapful number since it is divisible by the number (74) 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 701964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995904).

701964 is an abundant number, since it is smaller than the sum of its proper divisors (1289844).

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

701964 is a wasteful number, since it uses less digits than its factorization.

701964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 701964 is about 837.8329189045. The cubic root of 701964 is about 88.8733627975.

The spelling of 701964 in words is "seven hundred one thousand, nine hundred sixty-four".