10496640 has 256 divisors, whose sum is σ = 42301440. Its totient is φ = 2150400.

The previous prime is 10496623. The next prime is 10496657. The reversal of 10496640 is 4669401.

It is an interprime number because it is at equal distance from previous prime (10496623) and next prime (10496657).

It is a super-2 number, since 2×10496640² = 220358902579200, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10496598 and 10496607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147805 + ... + 147875.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^10496640 is an apocalyptic number.

10496640 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 10496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

10496640 is an abundant number, since it is smaller than the sum of its proper divisors (31804800).

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

10496640 is a wasteful number, since it uses less digits than its factorization.

10496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 10496640 is about 3239.8518484647. The cubic root of 10496640 is about 218.9525970671.

The spelling of 10496640 in words is "ten million, four hundred ninety-six thousand, six hundred forty".