29681540 has 48 divisors (see below), whose sum is σ = 72987264. Its totient is φ = 9926400.

The previous prime is 29681521. The next prime is 29681573. The reversal of 29681540 is 4518692.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 29681540.

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, 3155 + ... + 8325.

It is an arithmetic number, because the mean of its divisors is an integer number (1520568).

Almost surely, 2^29681540 is an apocalyptic number.

29681540 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 29681540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36493632).

29681540 is an abundant number, since it is smaller than the sum of its proper divisors (43305724).

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

29681540 is a wasteful number, since it uses less digits than its factorization.

29681540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 29681540 is about 5448.0767248636. The cubic root of 29681540 is about 309.6198600903.

The spelling of 29681540 in words is "twenty-nine million, six hundred eighty-one thousand, five hundred forty".