11968380 has 36 divisors (see below), whose sum is σ = 36304632. Its totient is φ = 3191520.

The previous prime is 11968379. The next prime is 11968381. The reversal of 11968380 is 8386911.

It is an interprime number because it is at equal distance from previous prime (11968379) and next prime (11968381).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11968381) 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, 33066 + ... + 33425.

It is an arithmetic number, because the mean of its divisors is an integer number (1008462).

Almost surely, 2^11968380 is an apocalyptic number.

11968380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11968380 is an abundant number, since it is smaller than the sum of its proper divisors (24336252).

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

11968380 is a wasteful number, since it uses less digits than its factorization.

11968380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66506 (or 66501 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11968380 is about 3459.5346507876. The cubic root of 11968380 is about 228.7415834940.

The spelling of 11968380 in words is "eleven million, nine hundred sixty-eight thousand, three hundred eighty".