1006434000 has 960 divisors, whose sum is σ = 4562707968. Its totient is φ = 202752000.

The previous prime is 1006433959. The next prime is 1006434007. The reversal of 1006434000 is 4346001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006434007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43757989 + ... + 43758011.

Almost surely, 2^1006434000 is an apocalyptic number.

1006434000 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 1006434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281353984).

1006434000 is an abundant number, since it is smaller than the sum of its proper divisors (3556273968).

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

1006434000 is a wasteful number, since it uses less digits than its factorization.

1006434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1006434000 is about 31724.3439648482. The cubic root of 1006434000 is about 1002.1400834424.

The spelling of 1006434000 in words is "one billion, six million, four hundred thirty-four thousand".