29114940 has 48 divisors (see below), whose sum is σ = 82131840. Its totient is φ = 7705920.

The previous prime is 29114933. The next prime is 29114951. The reversal of 29114940 is 4941192.

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 = 29114898 and 29114907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6595 + ... + 10085.

It is an arithmetic number, because the mean of its divisors is an integer number (1711080).

Almost surely, 2^29114940 is an apocalyptic number.

29114940 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 29114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065920).

29114940 is an abundant number, since it is smaller than the sum of its proper divisors (53016900).

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

29114940 is a wasteful number, since it uses less digits than its factorization.

29114940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 29114940 is about 5395.8261647314. The cubic root of 29114940 is about 307.6370464539.

The spelling of 29114940 in words is "twenty-nine million, one hundred fourteen thousand, nine hundred forty".