8034000 has 160 divisors (see below), whose sum is σ = 28164864. Its totient is φ = 1958400.

The previous prime is 8033989. The next prime is 8034023. The reversal of 8034000 is 4308.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77949 + ... + 78051.

Almost surely, 2^8034000 is an apocalyptic number.

8034000 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 8034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14082432).

8034000 is an abundant number, since it is smaller than the sum of its proper divisors (20130864).

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

8034000 is a wasteful number, since it uses less digits than its factorization.

8034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 8034000 is about 2834.4311598626. The cubic root of 8034000 is about 200.2829328895.

Adding to 8034000 its reverse (4308), we get a palindrome (8038308).

The spelling of 8034000 in words is "eight million, thirty-four thousand".