29976960 has 128 divisors (see below), whose sum is σ = 102987360. Its totient is φ = 7372800.

The previous prime is 29976937. The next prime is 29976971. The reversal of 29976960 is 6967992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 24360 + ... + 25560.

Almost surely, 2^29976960 is an apocalyptic number.

29976960 is a gapful number since it is divisible by the number (20) 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 29976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51493680).

29976960 is an abundant number, since it is smaller than the sum of its proper divisors (73010400).

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

29976960 is a wasteful number, since it uses less digits than its factorization.

29976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 29976960 is about 5475.1219164508. The cubic root of 29976960 is about 310.6436850710.

The spelling of 29976960 in words is "twenty-nine million, nine hundred seventy-six thousand, nine hundred sixty".