29761056 has 72 divisors (see below), whose sum is σ = 91154700. Its totient is φ = 9156096.

The previous prime is 29761027. The next prime is 29761063. The reversal of 29761056 is 65016792.

It can be written as a sum of positive squares in 2 ways, for example, as 28515600 + 1245456 = 5340^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 29761056.

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, 231 + ... + 7718.

Almost surely, 2^29761056 is an apocalyptic number.

29761056 is a gapful number since it is divisible by the number (26) 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 29761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45577350).

29761056 is an abundant number, since it is smaller than the sum of its proper divisors (61393644).

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

29761056 is a wasteful number, since it uses less digits than its factorization.

29761056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978 (or 7967 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 29761056 is about 5455.3694650317. The cubic root of 29761056 is about 309.8961011509.

The spelling of 29761056 in words is "twenty-nine million, seven hundred sixty-one thousand, fifty-six".