10679040 has 180 divisors, whose sum is σ = 38582544. Its totient is φ = 2820096.

The previous prime is 10679027. The next prime is 10679041. The reversal of 10679040 is 4097601.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10679040² = 228083790643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10678995 and 10679013.

It is not an unprimeable number, because it can be changed into a prime (10679041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103629 + ... + 103731.

Almost surely, 2^10679040 is an apocalyptic number.

10679040 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 10679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19291272).

10679040 is an abundant number, since it is smaller than the sum of its proper divisors (27903504).

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

10679040 is an equidigital number, since it uses as much as digits as its factorization.

10679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10679040 is about 3267.8800467581. The cubic root of 10679040 is about 220.2135667160.

The spelling of 10679040 in words is "ten million, six hundred seventy-nine thousand, forty".