29225664 has 112 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 8985600.

The previous prime is 29225639. The next prime is 29225683. The reversal of 29225664 is 46652292.

29225664 is a `hidden beast` number, since 2 + 92 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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, 21814 + ... + 23114.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 2^29225664 is an apocalyptic number.

29225664 is a gapful number since it is divisible by the number (24) 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 29225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

29225664 is an abundant number, since it is smaller than the sum of its proper divisors (63372576).

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

29225664 is a wasteful number, since it uses less digits than its factorization.

29225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1319 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 29225664 is about 5406.0765810336. The cubic root of 29225664 is about 308.0265339484.

The spelling of 29225664 in words is "twenty-nine million, two hundred twenty-five thousand, six hundred sixty-four".