29309940 has 144 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 6988800.

The previous prime is 29309927. The next prime is 29309977. The reversal of 29309940 is 4990392.

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

It is a junction number, because it is equal to n+sod(n) for n = 29309895 and 29309904.

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, 223675 + ... + 223805.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 2^29309940 is an apocalyptic number.

29309940 is a gapful number since it is divisible by the number (20) 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 29309940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248).

29309940 is an abundant number, since it is smaller than the sum of its proper divisors (69284556).

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

29309940 is a wasteful number, since it uses less digits than its factorization.

29309940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 29309940 is about 5413.8655321314. The cubic root of 29309940 is about 308.3223279896.

The spelling of 29309940 in words is "twenty-nine million, three hundred nine thousand, nine hundred forty".