96951456 has 72 divisors (see below), whose sum is σ = 315098784. Its totient is φ = 27699840.

The previous prime is 96951431. The next prime is 96951457. The reversal of 96951456 is 65415969.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (96951457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22030 + ... + 26061.

It is an arithmetic number, because the mean of its divisors is an integer number (4376372).

Almost surely, 2^96951456 is an apocalyptic number.

96951456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96951456 is an abundant number, since it is smaller than the sum of its proper divisors (218147328).

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

96951456 is a wasteful number, since it uses less digits than its factorization.

96951456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48114 (or 48103 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 96951456 is about 9846.3930451714. The cubic root of 96951456 is about 459.3934286096.

It can be divided in two parts, 969 and 51456, that added together give a palindrome (52425).

The spelling of 96951456 in words is "ninety-six million, nine hundred fifty-one thousand, four hundred fifty-six".