11938752 has 210 divisors, whose sum is σ = 42044112. Its totient is φ = 3338496.

The previous prime is 11938747. The next prime is 11938757. The reversal of 11938752 is 25783911.

It is an interprime number because it is at equal distance from previous prime (11938747) and next prime (11938757).

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 (11938757) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 253993 + ... + 254039.

Almost surely, 2^11938752 is an apocalyptic number.

11938752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

11938752 is the 1728-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022056).

11938752 is an abundant number, since it is smaller than the sum of its proper divisors (30105360).

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

11938752 is an equidigital number, since it uses as much as digits as its factorization.

11938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11938752 is about 3455.2499186021. The cubic root of 11938752 is about 228.5526758425.

The spelling of 11938752 in words is "eleven million, nine hundred thirty-eight thousand, seven hundred fifty-two".