962968416 has 48 divisors (see below), whose sum is σ = 2637702144. Its totient is φ = 307032704.

The previous prime is 962968399. The next prime is 962968427. The reversal of 962968416 is 614869269.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215856 + ... + 220271.

It is an arithmetic number, because the mean of its divisors is an integer number (54952128).

Almost surely, 2^962968416 is an apocalyptic number.

962968416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

962968416 is an abundant number, since it is smaller than the sum of its proper divisors (1674733728).

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

962968416 is a wasteful number, since it uses less digits than its factorization.

962968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436163 (or 436155 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 962968416 is about 31031.7324041053. The cubic root of 962968416 is about 987.5005534580.

The spelling of 962968416 in words is "nine hundred sixty-two million, nine hundred sixty-eight thousand, four hundred sixteen".