12953952 has 192 divisors, whose sum is σ = 43545600. Its totient is φ = 3709440.

The previous prime is 12953951. The next prime is 12953971. The reversal of 12953952 is 25935921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12953951) 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, 275593 + ... + 275639.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^12953952 is an apocalyptic number.

12953952 is a gapful number since it is divisible by the number (12) 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 12953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

12953952 is an abundant number, since it is smaller than the sum of its proper divisors (30591648).

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

12953952 is a wasteful number, since it uses less digits than its factorization.

12953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 12953952 is about 3599.1599019771. The cubic root of 12953952 is about 234.8555140202.

The spelling of 12953952 in words is "twelve million, nine hundred fifty-three thousand, nine hundred fifty-two".