29426264 has 48 divisors (see below), whose sum is σ = 64651680. Its totient is φ = 12519360.

The previous prime is 29426251. The next prime is 29426279. The reversal of 29426264 is 46262492.

29426264 = T₇ + T₈ + ... + T₅₆₀.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106094 + ... + 106370.

It is an arithmetic number, because the mean of its divisors is an integer number (1346910).

Almost surely, 2^29426264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29426264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32325840).

29426264 is an abundant number, since it is smaller than the sum of its proper divisors (35225416).

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

29426264 is a wasteful number, since it uses less digits than its factorization.

29426264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 29426264 is about 5424.5980496254. The cubic root of 29426264 is about 308.7296749393.

The spelling of 29426264 in words is "twenty-nine million, four hundred twenty-six thousand, two hundred sixty-four".