29668340 has 48 divisors (see below), whose sum is σ = 68393808. Its totient is φ = 10742784.

The previous prime is 29668277. The next prime is 29668357. The reversal of 29668340 is 4386692.

It can be written as a sum of positive squares in 8 ways, for example, as 4648336 + 25020004 = 2156^2 + 5002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29668294 and 29668303.

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, 12704 + ... + 14856.

It is an arithmetic number, because the mean of its divisors is an integer number (1424871).

Almost surely, 2^29668340 is an apocalyptic number.

29668340 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 29668340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34196904).

29668340 is an abundant number, since it is smaller than the sum of its proper divisors (38725468).

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

29668340 is a wasteful number, since it uses less digits than its factorization.

29668340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 29668340 is about 5446.8651534621. The cubic root of 29668340 is about 309.5739551478.

The spelling of 29668340 in words is "twenty-nine million, six hundred sixty-eight thousand, three hundred forty".