61288407 has 20 divisors (see below), whose sum is σ = 92852496. Its totient is φ = 40279680.

The previous prime is 61288393. The next prime is 61288421. The reversal of 61288407 is 70488216.

It is an interprime number because it is at equal distance from previous prime (61288393) and next prime (61288421).

It is not a de Polignac number, because 61288407 - 2⁶ = 61288343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61288807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 423 + ... + 11079.

Almost surely, 2^61288407 is an apocalyptic number.

61288407 is a deficient number, since it is larger than the sum of its proper divisors (31564089).

61288407 is a wasteful number, since it uses less digits than its factorization.

61288407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10731 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 61288407 is about 7828.6912699378. The cubic root of 61288407 is about 394.2691329443.

It can be divided in two parts, 6128 and 8407, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 61288407 in words is "sixty-one million, two hundred eighty-eight thousand, four hundred seven".