10572948 has 36 divisors (see below), whose sum is σ = 26824980. Its totient is φ = 3511296.

The previous prime is 10572943. The next prime is 10572971. The reversal of 10572948 is 84927501.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 725904 = 3138^2 + 852^2 .

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

It is a super-2 number, since 2×10572948² = 223574458821408, 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 not an unprimeable number, because it can be changed into a prime (10572941) 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, 18036 + ... + 18612.

Almost surely, 2^10572948 is an apocalyptic number.

10572948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10572948 is an abundant number, since it is smaller than the sum of its proper divisors (16252032).

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

10572948 is a wasteful number, since it uses less digits than its factorization.

10572948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 10572948 is about 3251.6069873218. The cubic root of 10572948 is about 219.4818937506.

It can be divided in two parts, 1057 and 2948, that added together give a triangular number (4005 = T₈₉).

The spelling of 10572948 in words is "ten million, five hundred seventy-two thousand, nine hundred forty-eight".