29680640 has 176 divisors, whose sum is σ = 84893184. Its totient is φ = 9830400.

The previous prime is 29680619. The next prime is 29680661. The reversal of 29680640 is 4608692.

It is an interprime number because it is at equal distance from previous prime (29680619) and next prime (29680661).

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 29680640.

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, 957425 + ... + 957455.

Almost surely, 2^29680640 is an apocalyptic number.

29680640 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 29680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42446592).

29680640 is an abundant number, since it is smaller than the sum of its proper divisors (55212544).

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

29680640 is a wasteful number, since it uses less digits than its factorization.

29680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 29680640 is about 5447.9941262817. The cubic root of 29680640 is about 309.6167306402.

The spelling of 29680640 in words is "twenty-nine million, six hundred eighty thousand, six hundred forty".