80946000 has 160 divisors (see below), whose sum is σ = 290160000. Its totient is φ = 21571200.

The previous prime is 80945987. The next prime is 80946029. The reversal of 80946000 is 64908.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53251 + ... + 54749.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2^80946000 is an apocalyptic number.

80946000 is a gapful number since it is divisible by the number (80) 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 80946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080000).

80946000 is an abundant number, since it is smaller than the sum of its proper divisors (209214000).

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

80946000 is a wasteful number, since it uses less digits than its factorization.

80946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80946000 is about 8996.9994998333. Note that the first 3 decimals coincide. The cubic root of 80946000 is about 432.5786997463.

The spelling of 80946000 in words is "eighty million, nine hundred forty-six thousand".