1054000 has 80 divisors (see below), whose sum is σ = 2785536. Its totient is φ = 384000.

The previous prime is 1053991. The next prime is 1054003. The reversal of 1054000 is 4501.

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

It is a super-2 number, since 2×1054000² = 2221832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1054003) 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, 33985 + ... + 34015.

2^1054000 is an apocalyptic number.

1054000 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 1054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392768).

1054000 is an abundant number, since it is smaller than the sum of its proper divisors (1731536).

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

1054000 is a wasteful number, since it uses less digits than its factorization.

1054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1054000 is about 1026.6450214168. The cubic root of 1054000 is about 101.7685383379.

Adding to 1054000 its reverse (4501), we get a palindrome (1058501).

The spelling of 1054000 in words is "one million, fifty-four thousand".