1952964 has 72 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 595296.

The previous prime is 1952963. The next prime is 1952981. The reversal of 1952964 is 4692591.

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 (1952963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18199 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

2^1952964 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 1952964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

1952964 is an abundant number, since it is smaller than the sum of its proper divisors (3580956).

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

1952964 is a wasteful number, since it uses less digits than its factorization.

1952964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1952964 is about 1397.4848836392. The cubic root of 1952964 is about 124.9965652390.

It can be divided in two parts, 1952 and 964, that added together give a square (2916 = 54²).

The spelling of 1952964 in words is "one million, nine hundred fifty-two thousand, nine hundred sixty-four".