164954000 has 80 divisors (see below), whose sum is σ = 405140736. Its totient is φ = 64944000.

The previous prime is 164953979. The next prime is 164954003. The reversal of 164954000 is 459461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164954003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133385 + ... + 134615.

Almost surely, 2^164954000 is an apocalyptic number.

164954000 is a gapful number since it is divisible by the number (10) 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 164954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202570368).

164954000 is an abundant number, since it is smaller than the sum of its proper divisors (240186736).

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

164954000 is a wasteful number, since it uses less digits than its factorization.

164954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 164954000 is about 12843.4419062804. The cubic root of 164954000 is about 548.4296805865.

The spelling of 164954000 in words is "one hundred sixty-four million, nine hundred fifty-four thousand".