65957640 has 128 divisors (see below), whose sum is σ = 227784960. Its totient is φ = 14966784.

The previous prime is 65957627. The next prime is 65957641. The reversal of 65957640 is 4675956.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 65957592 and 65957601.

It is not an unprimeable number, because it can be changed into a prime (65957641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195552 + ... + 195888.

It is an arithmetic number, because the mean of its divisors is an integer number (1779570).

Almost surely, 2^65957640 is an apocalyptic number.

65957640 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 65957640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113892480).

65957640 is an abundant number, since it is smaller than the sum of its proper divisors (161827320).

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

65957640 is a wasteful number, since it uses less digits than its factorization.

65957640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 65957640 is about 8121.4309084052. The cubic root of 65957640 is about 404.0375255148.

The spelling of 65957640 in words is "sixty-five million, nine hundred fifty-seven thousand, six hundred forty".