14977632 has 48 divisors (see below), whose sum is σ = 39780720. Its totient is φ = 4933632.

The previous prime is 14977621. The next prime is 14977639. The reversal of 14977632 is 23677941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14977639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7668 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (828765).

Almost surely, 2^14977632 is an apocalyptic number.

14977632 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 14977632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890360).

14977632 is an abundant number, since it is smaller than the sum of its proper divisors (24803088).

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

14977632 is a wasteful number, since it uses less digits than its factorization.

14977632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1847 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 14977632 is about 3870.0945724879. The cubic root of 14977632 is about 246.4985592670.

The spelling of 14977632 in words is "fourteen million, nine hundred seventy-seven thousand, six hundred thirty-two".