10277232 has 80 divisors (see below), whose sum is σ = 30831360. Its totient is φ = 2889216.

The previous prime is 10277227. The next prime is 10277249. The reversal of 10277232 is 23277201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24319 + ... + 24737.

It is an arithmetic number, because the mean of its divisors is an integer number (385392).

Almost surely, 2^10277232 is an apocalyptic number.

10277232 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 10277232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415680).

10277232 is an abundant number, since it is smaller than the sum of its proper divisors (20554128).

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

10277232 is a wasteful number, since it uses less digits than its factorization.

10277232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 10277232 is about 3205.8122215751. The cubic root of 10277232 is about 217.4162764032.

The spelling of 10277232 in words is "ten million, two hundred seventy-seven thousand, two hundred thirty-two".