920272896 has 135 divisors (see below), whose sum is σ = 2692562691. Its totient is φ = 302874624.

The previous prime is 920272891. The next prime is 920272907. The reversal of 920272896 is 698272029.

The square root of 920272896 is 30336.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×920272896² = 1693804406224453632, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (920272891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11648985 + ... + 11649063.

Almost surely, 2^920272896 is an apocalyptic number.

920272896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

920272896 is the 30336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920272896

920272896 is an abundant number, since it is smaller than the sum of its proper divisors (1772289795).

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

920272896 is an frugal number, since it uses more digits than its factorization.

920272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 920272896 is about 972.6849817846.

The spelling of 920272896 in words is "nine hundred twenty million, two hundred seventy-two thousand, eight hundred ninety-six".