11967552 has 84 divisors (see below), whose sum is σ = 34869120. Its totient is φ = 3923712.

The previous prime is 11967551. The next prime is 11967583. The reversal of 11967552 is 25576911.

11967552 is a `hidden beast` number, since 11 + 96 + 7 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11967551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45373 + ... + 45635.

Almost surely, 2^11967552 is an apocalyptic number.

11967552 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 11967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434560).

11967552 is an abundant number, since it is smaller than the sum of its proper divisors (22901568).

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

11967552 is a wasteful number, since it uses less digits than its factorization.

11967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 11967552 is about 3459.4149794438. The cubic root of 11967552 is about 228.7363084164.

The spelling of 11967552 in words is "eleven million, nine hundred sixty-seven thousand, five hundred fifty-two".