20746800 has 240 divisors, whose sum is σ = 78878880. Its totient is φ = 5160960.

The previous prime is 20746799. The next prime is 20746801. The reversal of 20746800 is 864702.

It is an interprime number because it is at equal distance from previous prime (20746799) and next prime (20746801).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (20746801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183544 + ... + 183656.

It is an arithmetic number, because the mean of its divisors is an integer number (328662).

Almost surely, 2^20746800 is an apocalyptic number.

20746800 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 20746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39439440).

20746800 is an abundant number, since it is smaller than the sum of its proper divisors (58132080).

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

20746800 is a wasteful number, since it uses less digits than its factorization.

20746800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20746800 is about 4554.8655303971. The cubic root of 20746800 is about 274.7791063613.

The spelling of 20746800 in words is "twenty million, seven hundred forty-six thousand, eight hundred".