20177040 has 160 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 4773888.

The previous prime is 20177033. The next prime is 20177057. The reversal of 20177040 is 4077102.

It is a super-2 number, since 2×20177040² = 814225886323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20176998 and 20177016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90369 + ... + 90591.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^20177040 is an apocalyptic number.

20177040 is a gapful number since it is divisible by the number (20) 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 20177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

20177040 is an abundant number, since it is smaller than the sum of its proper divisors (49818480).

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

20177040 is a wasteful number, since it uses less digits than its factorization.

20177040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 20177040 is about 4491.8860181443. The cubic root of 20177040 is about 272.2403440818.

The spelling of 20177040 in words is "twenty million, one hundred seventy-seven thousand, forty".