5957952 has 224 divisors, whose sum is σ = 21848064. Its totient is φ = 1382400.

The previous prime is 5957933. The next prime is 5957953. The reversal of 5957952 is 2597595.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192177 + ... + 192207.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

Almost surely, 2^5957952 is an apocalyptic number.

5957952 is a gapful number since it is divisible by the number (52) 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 5957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924032).

5957952 is an abundant number, since it is smaller than the sum of its proper divisors (15890112).

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

5957952 is a wasteful number, since it uses less digits than its factorization.

5957952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its digits is 141750, while the sum is 42.

The square root of 5957952 is about 2440.8916403642. The cubic root of 5957952 is about 181.2865844502.

The spelling of 5957952 in words is "five million, nine hundred fifty-seven thousand, nine hundred fifty-two".