10892640 has 96 divisors (see below), whose sum is σ = 37449216. Its totient is φ = 2639360.

The previous prime is 10892633. The next prime is 10892653. The reversal of 10892640 is 4629801.

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

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 = 10892598 and 10892607.

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, 4249 + ... + 6311.

It is an arithmetic number, because the mean of its divisors is an integer number (390096).

Almost surely, 2^10892640 is an apocalyptic number.

10892640 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 10892640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724608).

10892640 is an abundant number, since it is smaller than the sum of its proper divisors (26556576).

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

10892640 is a wasteful number, since it uses less digits than its factorization.

10892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10892640 is about 3300.3999757605. The cubic root of 10892640 is about 221.6721074537.

The spelling of 10892640 in words is "ten million, eight hundred ninety-two thousand, six hundred forty".