10498000 has 80 divisors (see below), whose sum is σ = 26404560. Its totient is φ = 4032000.

The previous prime is 10497983. The next prime is 10498001. The reversal of 10498000 is 89401.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 3717184 = 2604^2 + 1928^2 .

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

It is a super-2 number, since 2×10498000² = 220416008000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498001) 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, 57910 + ... + 58090.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^10498000 is an apocalyptic number.

10498000 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 10498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202280).

10498000 is an abundant number, since it is smaller than the sum of its proper divisors (15906560).

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

10498000 is a wasteful number, since it uses less digits than its factorization.

10498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10498000 is about 3240.0617278070. The cubic root of 10498000 is about 218.9620528762.

The spelling of 10498000 in words is "ten million, four hundred ninety-eight thousand".