20154000 has 80 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 5372800.

The previous prime is 20153983. The next prime is 20154019. The reversal of 20154000 is 45102.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4321 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^20154000 is an apocalyptic number.

20154000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20154000 is the 2400-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

20154000 is an abundant number, since it is smaller than the sum of its proper divisors (44841840).

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

20154000 is a wasteful number, since it uses less digits than its factorization.

20154000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20154000 is about 4489.3206613028. The cubic root of 20154000 is about 272.1366815935.

Adding to 20154000 its reverse (45102), we get a palindrome (20199102).

The spelling of 20154000 in words is "twenty million, one hundred fifty-four thousand".