29942640 has 240 divisors, whose sum is σ = 124033728. Its totient is φ = 6303744.

The previous prime is 29942623. The next prime is 29942641. The reversal of 29942640 is 4624992.

29942640 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 29942595 and 29942604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29942641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65292 + ... + 65748.

Almost surely, 2^29942640 is an apocalyptic number.

29942640 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 29942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62016864).

29942640 is an abundant number, since it is smaller than the sum of its proper divisors (94091088).

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

29942640 is a wasteful number, since it uses less digits than its factorization.

29942640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 29942640 is about 5471.9868420894. The cubic root of 29942640 is about 310.5250899623.

The spelling of 29942640 in words is "twenty-nine million, nine hundred forty-two thousand, six hundred forty".