261416628 has 54 divisors (see below), whose sum is σ = 726349442. Its totient is φ = 79215840.

The previous prime is 261416593. The next prime is 261416641. The reversal of 261416628 is 826614162.

261416628 is a `hidden beast` number, since 2 + 6 + 14 + 16 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244672164 + 16744464 = 15642^2 + 4092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 261416592 and 261416601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25651 + ... + 34362.

Almost surely, 2^261416628 is an apocalyptic number.

It is an amenable number.

261416628 is an abundant number, since it is smaller than the sum of its proper divisors (464932814).

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

261416628 is a wasteful number, since it uses less digits than its factorization.

261416628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60045 (or 60029 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 261416628 is about 16168.3835926786. The cubic root of 261416628 is about 639.4075148224.

The spelling of 261416628 in words is "two hundred sixty-one million, four hundred sixteen thousand, six hundred twenty-eight".