10034992 has 80 divisors (see below), whose sum is σ = 23069952. Its totient is φ = 4181760.

The previous prime is 10034987. The next prime is 10035013. The reversal of 10034992 is 29943001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10034992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149743 + ... + 149809.

Almost surely, 2^10034992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534976).

10034992 is an abundant number, since it is smaller than the sum of its proper divisors (13034960).

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

10034992 is a wasteful number, since it uses less digits than its factorization.

10034992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 10034992 is about 3167.8055495879. The cubic root of 10034992 is about 215.6944697254.

Adding to 10034992 its reverse (29943001), we get a palindrome (39977993).

It can be divided in two parts, 10034 and 992, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 10034992 in words is "ten million, thirty-four thousand, nine hundred ninety-two".