962470080 has 896 divisors, whose sum is σ = 4301337600. Its totient is φ = 199065600.

The previous prime is 962470063. The next prime is 962470123. The reversal of 962470080 is 80074269.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23474860 + ... + 23474900.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^962470080 is an apocalyptic number.

962470080 is a gapful number since it is divisible by the number (90) 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 962470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150668800).

962470080 is an abundant number, since it is smaller than the sum of its proper divisors (3338867520).

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

962470080 is a wasteful number, since it uses less digits than its factorization.

962470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 962470080 is about 31023.7019067680. The cubic root of 962470080 is about 987.3301802729.

The spelling of 962470080 in words is "nine hundred sixty-two million, four hundred seventy thousand, eighty".