10698240 has 160 divisors (see below), whose sum is σ = 39283200. Its totient is φ = 2433024.

The previous prime is 10698221. The next prime is 10698263. The reversal of 10698240 is 4289601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10698240² = 228904678195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10698198 and 10698207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53661 + ... + 53859.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^10698240 is an apocalyptic number.

10698240 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 10698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19641600).

10698240 is an abundant number, since it is smaller than the sum of its proper divisors (28584960).

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

10698240 is an equidigital number, since it uses as much as digits as its factorization.

10698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10698240 is about 3270.8164118458. The cubic root of 10698240 is about 220.3454627506.

It can be divided in two parts, 106 and 98240, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 10698240 in words is "ten million, six hundred ninety-eight thousand, two hundred forty".