65407488 has 80 divisors (see below), whose sum is σ = 176447040. Its totient is φ = 21528576.

The previous prime is 65407487. The next prime is 65407501. The reversal of 65407488 is 88470456.

It is not an unprimeable number, because it can be changed into a prime (65407487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148773 + ... + 149211.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 2^65407488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88223520).

65407488 is an abundant number, since it is smaller than the sum of its proper divisors (111039552).

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

65407488 is an equidigital number, since it uses as much as digits as its factorization.

65407488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 65407488 is about 8087.4895981386. The cubic root of 65407488 is about 402.9110300346.

It can be divided in two parts, 6540 and 7488, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 65407488 in words is "sixty-five million, four hundred seven thousand, four hundred eighty-eight".