65126880 has 432 divisors, whose sum is σ = 282338784. Its totient is φ = 13547520.

The previous prime is 65126861. The next prime is 65126891. The reversal of 65126880 is 8862156.

It is a happy number.

65126880 is a `hidden beast` number, since 6 + 512 + 68 + 80 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 917245 + ... + 917315.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^65126880 is an apocalyptic number.

65126880 is a gapful number since it is divisible by the number (60) 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 65126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169392).

65126880 is an abundant number, since it is smaller than the sum of its proper divisors (217211904).

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

65126880 is a wasteful number, since it uses less digits than its factorization.

65126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 65126880 is about 8070.1226756475. The cubic root of 65126880 is about 402.3340210417.

The spelling of 65126880 in words is "sixty-five million, one hundred twenty-six thousand, eight hundred eighty".