29768440 has 128 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 9884160.

The previous prime is 29768429. The next prime is 29768441. The reversal of 29768440 is 4486792.

29768440 = T₁₂₁₆ + T₁₂₁₇ + ... + T₁₂₅₄.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 29768393 and 29768402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29768441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227175 + ... + 227305.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 2^29768440 is an apocalyptic number.

29768440 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 29768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

29768440 is an abundant number, since it is smaller than the sum of its proper divisors (50065160).

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

29768440 is a wasteful number, since it uses less digits than its factorization.

29768440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 29768440 is about 5456.0461874878. The cubic root of 29768440 is about 309.9217284179.

The spelling of 29768440 in words is "twenty-nine million, seven hundred sixty-eight thousand, four hundred forty".