960700416 has 224 divisors, whose sum is σ = 2877116928. Its totient is φ = 283115520.

The previous prime is 960700393. The next prime is 960700417. The reversal of 960700416 is 614007069.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960700417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9904080 + ... + 9904176.

It is an arithmetic number, because the mean of its divisors is an integer number (12844272).

Almost surely, 2^960700416 is an apocalyptic number.

960700416 is a gapful number since it is divisible by the number (96) 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 960700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438558464).

960700416 is an abundant number, since it is smaller than the sum of its proper divisors (1916416512).

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

960700416 is a wasteful number, since it uses less digits than its factorization.

960700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 960700416 is about 30995.1676233570. The cubic root of 960700416 is about 986.7246845195.

The spelling of 960700416 in words is "nine hundred sixty million, seven hundred thousand, four hundred sixteen".