20772948 has 48 divisors (see below), whose sum is σ = 56236544. Its totient is φ = 5844960.

The previous prime is 20772923. The next prime is 20772949. The reversal of 20772948 is 84927702.

It is a super-2 number, since 2×20772948² = 863030737221408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20772949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3783 + ... + 7473.

Almost surely, 2^20772948 is an apocalyptic number.

20772948 is a gapful number since it is divisible by the number (28) 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 20772948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28118272).

20772948 is an abundant number, since it is smaller than the sum of its proper divisors (35463596).

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

20772948 is a wasteful number, since it uses less digits than its factorization.

20772948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 20772948 is about 4557.7349637731. The cubic root of 20772948 is about 274.8944961677.

The spelling of 20772948 in words is "twenty million, seven hundred seventy-two thousand, nine hundred forty-eight".