10874772 has 36 divisors (see below), whose sum is σ = 27590836. Its totient is φ = 3611520.

The previous prime is 10874761. The next prime is 10874777. The reversal of 10874772 is 27747801.

It can be written as a sum of positive squares in 2 ways, for example, as 9036036 + 1838736 = 3006^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10874772³ (a number of 22 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (10874777) 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, 16122 + ... + 16782.

Almost surely, 2^10874772 is an apocalyptic number.

10874772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10874772 is an abundant number, since it is smaller than the sum of its proper divisors (16716064).

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

10874772 is a wasteful number, since it uses less digits than its factorization.

10874772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 10874772 is about 3297.6919201163. The cubic root of 10874772 is about 221.5508327538.

The spelling of 10874772 in words is "ten million, eight hundred seventy-four thousand, seven hundred seventy-two".