10700640 has 96 divisors (see below), whose sum is σ = 37467360. Its totient is φ = 2852352.

The previous prime is 10700621. The next prime is 10700663. The reversal of 10700640 is 4600701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10700640² = 229007392819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3082 + ... + 5558.

It is an arithmetic number, because the mean of its divisors is an integer number (390285).

Almost surely, 2^10700640 is an apocalyptic number.

10700640 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 10700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733680).

10700640 is an abundant number, since it is smaller than the sum of its proper divisors (26766720).

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

10700640 is a wasteful number, since it uses less digits than its factorization.

10700640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10700640 is about 3271.1832721509. The cubic root of 10700640 is about 220.3619386560.

The spelling of 10700640 in words is "ten million, seven hundred thousand, six hundred forty".