14966952 has 192 divisors, whose sum is σ = 51710400. Its totient is φ = 3548160.

The previous prime is 14966947. The next prime is 14966977. The reversal of 14966952 is 25966941.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168124 + ... + 168212.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^14966952 is an apocalyptic number.

14966952 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 14966952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

14966952 is an abundant number, since it is smaller than the sum of its proper divisors (36743448).

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

14966952 is a wasteful number, since it uses less digits than its factorization.

14966952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 14966952 is about 3868.7145151846. The cubic root of 14966952 is about 246.4399556417.

It can be divided in two parts, 1496 and 6952, that added together give a palindrome (8448).

The spelling of 14966952 in words is "fourteen million, nine hundred sixty-six thousand, nine hundred fifty-two".