65542680 has 192 divisors, whose sum is σ = 251596800. Its totient is φ = 14480640.

The previous prime is 65542669. The next prime is 65542699. The reversal of 65542680 is 8624556.

65542680 = 438² + 439² + ... + 654².

65542680 is a `hidden beast` number, since 6 + 554 + 26 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77701 + ... + 78539.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^65542680 is an apocalyptic number.

65542680 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 65542680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

65542680 is an abundant number, since it is smaller than the sum of its proper divisors (186054120).

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

65542680 is a wasteful number, since it uses less digits than its factorization.

65542680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 65542680 is about 8095.8433779317. The cubic root of 65542680 is about 403.1884338613.

The spelling of 65542680 in words is "sixty-five million, five hundred forty-two thousand, six hundred eighty".