10577952 has 240 divisors, whose sum is σ = 39517632. Its totient is φ = 2695680.

The previous prime is 10577939. The next prime is 10577969. The reversal of 10577952 is 25977501.

It is a super-2 number, since 2×10577952² = 223786137028608, 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199558 + ... + 199610.

Almost surely, 2^10577952 is an apocalyptic number.

10577952 is a gapful number since it is divisible by the number (12) 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 10577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

10577952 is an abundant number, since it is smaller than the sum of its proper divisors (28939680).

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

10577952 is a wasteful number, since it uses less digits than its factorization.

10577952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 10577952 is about 3252.3763619852. The cubic root of 10577952 is about 219.5165139963.

It can be divided in two parts, 1057 and 7952, that added together give a palindrome (9009).

The spelling of 10577952 in words is "ten million, five hundred seventy-seven thousand, nine hundred fifty-two".