965213496 has 224 divisors, whose sum is σ = 3029796000. Its totient is φ = 286094592.

The previous prime is 965213453. The next prime is 965213497. The reversal of 965213496 is 694312569.

965213496 is a `hidden beast` number, since 9 + 6 + 521 + 34 + 96 = 666.

Its product of digits (349920) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (965213497) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2198445 + ... + 2198883.

It is an arithmetic number, because the mean of its divisors is an integer number (13525875).

Almost surely, 2^965213496 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 965213496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514898000).

965213496 is an abundant number, since it is smaller than the sum of its proper divisors (2064582504).

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

965213496 is a wasteful number, since it uses less digits than its factorization.

965213496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 965213496 is about 31067.8852836816. The cubic root of 965213496 is about 988.2673827066.

The spelling of 965213496 in words is "nine hundred sixty-five million, two hundred thirteen thousand, four hundred ninety-six".