10617040 has 40 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 3639936.

The previous prime is 10617031. The next prime is 10617043. The reversal of 10617040 is 4071601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10617040² = 225443076723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10616999 and 10617017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8920 + ... + 10039.

It is an arithmetic number, because the mean of its divisors is an integer number (705312).

Almost surely, 2^10617040 is an apocalyptic number.

10617040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10617040 is an abundant number, since it is smaller than the sum of its proper divisors (17595440).

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

10617040 is a wasteful number, since it uses less digits than its factorization.

10617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18979 (or 18973 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10617040 is about 3258.3799655657. The cubic root of 10617040 is about 219.7865698700.

Adding to 10617040 its reverse (4071601), we get a palindrome (14688641).

The spelling of 10617040 in words is "ten million, six hundred seventeen thousand, forty".