29764020 has 96 divisors (see below), whose sum is σ = 97937280. Its totient is φ = 6658560.

The previous prime is 29763997. The next prime is 29764027. The reversal of 29764020 is 2046792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29764027) 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, 6846 + ... + 10314.

It is an arithmetic number, because the mean of its divisors is an integer number (1020180).

Almost surely, 2^29764020 is an apocalyptic number.

29764020 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 29764020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48968640).

29764020 is an abundant number, since it is smaller than the sum of its proper divisors (68173260).

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

29764020 is a wasteful number, since it uses less digits than its factorization.

29764020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 29764020 is about 5455.6411172290. The cubic root of 29764020 is about 309.9063886616.

It can be divided in two parts, 2976 and 4020, that added together give a palindrome (6996).

The spelling of 29764020 in words is "twenty-nine million, seven hundred sixty-four thousand, twenty".