10701040 has 80 divisors (see below), whose sum is σ = 28873152. Its totient is φ = 3612672.

The previous prime is 10701037. The next prime is 10701059. The reversal of 10701040 is 4010701.

10701040 = T₆₅ + T₆₆ + ... + T₄₀₀.

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

It is a super-2 number, since 2×10701040² = 229024514163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10701040.

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, 54222 + ... + 54418.

Almost surely, 2^10701040 is an apocalyptic number.

10701040 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 10701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436576).

10701040 is an abundant number, since it is smaller than the sum of its proper divisors (18172112).

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

10701040 is a wasteful number, since it uses less digits than its factorization.

10701040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10701040 is about 3271.2444115352. The cubic root of 10701040 is about 220.3646844007.

Adding to 10701040 its reverse (4010701), we get a palindrome (14711741).

The spelling of 10701040 in words is "ten million, seven hundred one thousand, forty".