11667780 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2764800.

The previous prime is 11667731. The next prime is 11667793. The reversal of 11667780 is 8776611.

It is a happy number.

It is a super-2 number, since 2×11667780² = 272274180256800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 284560 + ... + 284600.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11667780 is an apocalyptic number.

11667780 is a gapful number since it is divisible by the number (10) 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 11667780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11667780 is an abundant number, since it is smaller than the sum of its proper divisors (28974780).

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

11667780 is a wasteful number, since it uses less digits than its factorization.

11667780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 11667780 is about 3415.8132267441. The cubic root of 11667780 is about 226.8102848000.

It can be divided in two parts, 116 and 67780, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 11667780 in words is "eleven million, six hundred sixty-seven thousand, seven hundred eighty".