20451960 has 128 divisors (see below), whose sum is σ = 70632000. Its totient is φ = 5257728.

The previous prime is 20451941. The next prime is 20451967. The reversal of 20451960 is 6915402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20451967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30994 + ... + 31646.

Almost surely, 2^20451960 is an apocalyptic number.

20451960 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 20451960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35316000).

20451960 is an abundant number, since it is smaller than the sum of its proper divisors (50180040).

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

20451960 is a wasteful number, since it uses less digits than its factorization.

20451960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20451960 is about 4522.3843268789. The cubic root of 20451960 is about 273.4712305709.

It can be divided in two parts, 2045 and 1960, that added together give a triangular number (4005 = T₈₉).

The spelling of 20451960 in words is "twenty million, four hundred fifty-one thousand, nine hundred sixty".