65379456 has 192 divisors, whose sum is σ = 206856000. Its totient is φ = 19740672.

The previous prime is 65379443. The next prime is 65379469. The reversal of 65379456 is 65497356.

It is an interprime number because it is at equal distance from previous prime (65379443) and next prime (65379469).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634701 + ... + 634803.

It is an arithmetic number, because the mean of its divisors is an integer number (1077375).

Almost surely, 2^65379456 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 65379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428000).

65379456 is an abundant number, since it is smaller than the sum of its proper divisors (141476544).

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

65379456 is a wasteful number, since it uses less digits than its factorization.

65379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 65379456 is about 8085.7563653625. The cubic root of 65379456 is about 402.8534626407.

The spelling of 65379456 in words is "sixty-five million, three hundred seventy-nine thousand, four hundred fifty-six".