750006 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 217728.

The previous prime is 749993. The next prime is 750019. The reversal of 750006 is 600057.

It is an interprime number because it is at equal distance from previous prime (749993) and next prime (750019).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

750006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17421 + ... + 17463.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁷⁵⁰⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 750006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

750006 is an abundant number, since it is smaller than the sum of its proper divisors (1150794).

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

750006 is a wasteful number, since it uses less digits than its factorization.

750006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 750006 is about 866.0288678791. The cubic root of 750006 is about 90.8562719237.

The spelling of 750006 in words is "seven hundred fifty thousand, six".