80629164 has 288 divisors, whose sum is σ = 283046400. Its totient is φ = 18708480.

The previous prime is 80629127. The next prime is 80629169. The reversal of 80629164 is 46192608.

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

It is not an unprimeable number, because it can be changed into a prime (80629169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366567 + ... + 1366625.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^80629164 is an apocalyptic number.

80629164 is a gapful number since it is divisible by the number (84) 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 80629164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

80629164 is an abundant number, since it is smaller than the sum of its proper divisors (202417236).

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

80629164 is a wasteful number, since it uses less digits than its factorization.

80629164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80629164 is about 8979.3743657340. The cubic root of 80629164 is about 432.0135669608.

The spelling of 80629164 in words is "eighty million, six hundred twenty-nine thousand, one hundred sixty-four".