65132760 has 384 divisors, whose sum is σ = 265939200. Its totient is φ = 12579840.

The previous prime is 65132747. The next prime is 65132783. The reversal of 65132760 is 6723156.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228894 + ... + 1228946.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 2^65132760 is an apocalyptic number.

65132760 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 65132760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

65132760 is an abundant number, since it is smaller than the sum of its proper divisors (200806440).

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

65132760 is a wasteful number, since it uses less digits than its factorization.

65132760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 65132760 is about 8070.4869741547. The cubic root of 65132760 is about 402.3461289601.

It can be divided in two parts, 651 and 32760, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 65132760 in words is "sixty-five million, one hundred thirty-two thousand, seven hundred sixty".