21294760 has 48 divisors (see below), whose sum is σ = 49157460. Its totient is φ = 8302080.

The previous prime is 21294731. The next prime is 21294773. The reversal of 21294760 is 6749212.

21294760 = T₂₃₉ + T₂₄₀ + ... + T₅₂₀.

It can be written as a sum of positive squares in 2 ways, for example, as 21215236 + 79524 = 4606^2 + 282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88240 + ... + 88480.

Almost surely, 2^21294760 is an apocalyptic number.

21294760 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 21294760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578730).

21294760 is an abundant number, since it is smaller than the sum of its proper divisors (27862700).

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

21294760 is a wasteful number, since it uses less digits than its factorization.

21294760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 21294760 is about 4614.6245784462. The cubic root of 21294760 is about 277.1772510443.

It can be divided in two parts, 2129 and 4760, that added together give a square (6889 = 83²).

The spelling of 21294760 in words is "twenty-one million, two hundred ninety-four thousand, seven hundred sixty".