10657740 has 48 divisors (see below), whose sum is σ = 31143168. Its totient is φ = 2718144.

The previous prime is 10657733. The next prime is 10657747. The reversal of 10657740 is 4775601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10657733) and next prime (10657747).

It is a super-2 number, since 2×10657740² = 227174843815200, 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 = 10657698 and 10657707.

It is not an unprimeable number, because it can be changed into a prime (10657747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (648816).

Almost surely, 2^10657740 is an apocalyptic number.

10657740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10657740 is an abundant number, since it is smaller than the sum of its proper divisors (20485428).

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

10657740 is a wasteful number, since it uses less digits than its factorization.

10657740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10657740 is about 3264.6194265182. The cubic root of 10657740 is about 220.0670594470.

The spelling of 10657740 in words is "ten million, six hundred fifty-seven thousand, seven hundred forty".