10545984 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 3299328.

The previous prime is 10545973. The next prime is 10546009. The reversal of 10545984 is 48954501.

10545984 is a `hidden beast` number, since 10 + 54 + 598 + 4 = 666.

It is a super-2 number, since 2×10545984² = 222435557056512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29197 + ... + 29555.

Almost surely, 2^10545984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

10545984 is an abundant number, since it is smaller than the sum of its proper divisors (22372416).

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

10545984 is a wasteful number, since it uses less digits than its factorization.

10545984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 10545984 is about 3247.4580828704. The cubic root of 10545984 is about 219.2951546666.

The spelling of 10545984 in words is "ten million, five hundred forty-five thousand, nine hundred eighty-four".