214961040 has 300 divisors, whose sum is σ = 869766876. Its totient is φ = 49061376.

The previous prime is 214961017. The next prime is 214961051. The reversal of 214961040 is 40169412.

214961040 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 610 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165173904 + 49787136 = 12852^2 + 7056^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 214960995 and 214961013.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317182 + ... + 317858.

Almost surely, 2^214961040 is an apocalyptic number.

214961040 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 214961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434883438).

214961040 is an abundant number, since it is smaller than the sum of its proper divisors (654805836).

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

214961040 is a wasteful number, since it uses less digits than its factorization.

214961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214961040 is about 14661.5497134512. The cubic root of 214961040 is about 599.0364534584.

The spelling of 214961040 in words is "two hundred fourteen million, nine hundred sixty-one thousand, forty".