10367552 has 56 divisors (see below), whose sum is σ = 23490936. Its totient is φ = 4497408.

The previous prime is 10367531. The next prime is 10367557. The reversal of 10367552 is 25576301.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 6431296 = 1984^2 + 2536^2 .

It is a super-2 number, since 2×10367552² = 214972268945408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10367557) 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, 13778 + ... + 14510.

It is an arithmetic number, because the mean of its divisors is an integer number (419481).

Almost surely, 2^10367552 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 10367552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745468).

10367552 is an abundant number, since it is smaller than the sum of its proper divisors (13123384).

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

10367552 is a wasteful number, since it uses less digits than its factorization.

10367552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 10367552 is about 3219.8683202889. The cubic root of 10367552 is about 218.0513303924.

The spelling of 10367552 in words is "ten million, three hundred sixty-seven thousand, five hundred fifty-two".