10435680 has 72 divisors (see below), whose sum is σ = 35616672. Its totient is φ = 2782464.

The previous prime is 10435669. The next prime is 10435687. The reversal of 10435680 is 8653401.

10435680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10435687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2184 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (494676).

Almost surely, 2^10435680 is an apocalyptic number.

10435680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10435680 is an abundant number, since it is smaller than the sum of its proper divisors (25180992).

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

10435680 is a wasteful number, since it uses less digits than its factorization.

10435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10435680 is about 3230.4303118934. The cubic root of 10435680 is about 218.5279128324.

The spelling of 10435680 in words is "ten million, four hundred thirty-five thousand, six hundred eighty".