29978964 has 48 divisors (see below), whose sum is σ = 78321600. Its totient is φ = 9916128.

The previous prime is 29978951. The next prime is 29978981. The reversal of 29978964 is 46987992.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29978964.

It is a congruent number.

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, 14014 + ... + 16010.

It is an arithmetic number, because the mean of its divisors is an integer number (1631700).

Almost surely, 2^29978964 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 29978964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39160800).

29978964 is an abundant number, since it is smaller than the sum of its proper divisors (48342636).

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

29978964 is a wasteful number, since it uses less digits than its factorization.

29978964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2141 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 29978964 is about 5475.3049230157. The cubic root of 29978964 is about 310.6506072325.

Subtracting 29978964 from its reverse (46987992), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 29978964 in words is "twenty-nine million, nine hundred seventy-eight thousand, nine hundred sixty-four".