20777152 has 42 divisors (see below), whose sum is σ = 45335444. Its totient is φ = 9440640.

The previous prime is 20777101. The next prime is 20777167. The reversal of 20777152 is 25177702.

It is a super-2 number, since 2×20777152² = 863380090462208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6403 + ... + 9085.

Almost surely, 2^20777152 is an apocalyptic number.

20777152 is a gapful number since it is divisible by the number (22) 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 20777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22667722).

20777152 is an abundant number, since it is smaller than the sum of its proper divisors (24558292).

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

20777152 is a wasteful number, since it uses less digits than its factorization.

20777152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 20777152 is about 4558.1961344374. The cubic root of 20777152 is about 274.9130391707.

It can be divided in two parts, 2077 and 7152, that added together give a palindrome (9229).

The spelling of 20777152 in words is "twenty million, seven hundred seventy-seven thousand, one hundred fifty-two".