11729640 has 128 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 2820096.

The previous prime is 11729633. The next prime is 11729681. The reversal of 11729640 is 4692711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11729598 and 11729607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113829 + ... + 113931.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^11729640 is an apocalyptic number.

11729640 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 11729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

11729640 is an abundant number, since it is smaller than the sum of its proper divisors (27058200).

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

11729640 is a wasteful number, since it uses less digits than its factorization.

11729640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11729640 is about 3424.8562013609. The cubic root of 11729640 is about 227.2104112302.

The spelling of 11729640 in words is "eleven million, seven hundred twenty-nine thousand, six hundred forty".