29668590 has 48 divisors (see below), whose sum is σ = 88159968. Its totient is φ = 6781248.

The previous prime is 29668579. The next prime is 29668607. The reversal of 29668590 is 9586692.

It is a super-3 number, since 3×29668590³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22917 + ... + 24176.

It is an arithmetic number, because the mean of its divisors is an integer number (1836666).

Almost surely, 2^29668590 is an apocalyptic number.

29668590 is an abundant number, since it is smaller than the sum of its proper divisors (58491378).

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

29668590 is a wasteful number, since it uses less digits than its factorization.

29668590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47113 (or 47110 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29668590 is about 5446.8881023939. Note that the first 3 decimals coincide. The cubic root of 29668590 is about 309.5748246861.

It can be divided in two parts, 296 and 68590, that added together give a palindrome (68886).

The spelling of 29668590 in words is "twenty-nine million, six hundred sixty-eight thousand, five hundred ninety".