10357984 has 48 divisors (see below), whose sum is σ = 25105248. Its totient is φ = 4096512.

The previous prime is 10357973. The next prime is 10357987. The reversal of 10357984 is 48975301.

It is a super-3 number, since 3×10357984³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10357987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134 + ... + 4690.

It is an arithmetic number, because the mean of its divisors is an integer number (523026).

Almost surely, 2^10357984 is an apocalyptic number.

10357984 is a gapful number since it is divisible by the number (14) 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 10357984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552624).

10357984 is an abundant number, since it is smaller than the sum of its proper divisors (14747264).

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

10357984 is a wasteful number, since it uses less digits than its factorization.

10357984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 10357984 is about 3218.3822022874. The cubic root of 10357984 is about 217.9842313876.

The spelling of 10357984 in words is "ten million, three hundred fifty-seven thousand, nine hundred eighty-four".