11902968 has 192 divisors, whose sum is σ = 42681600. Its totient is φ = 2903040.

The previous prime is 11902931. The next prime is 11902973. The reversal of 11902968 is 86920911.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105280 + ... + 105392.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 2^11902968 is an apocalyptic number.

11902968 is a gapful number since it is divisible by the number (18) 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 11902968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

11902968 is an abundant number, since it is smaller than the sum of its proper divisors (30778632).

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

11902968 is a wasteful number, since it uses less digits than its factorization.

11902968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11902968 is about 3450.0678254202. The cubic root of 11902968 is about 228.3241004785.

The spelling of 11902968 in words is "eleven million, nine hundred two thousand, nine hundred sixty-eight".