962288640 has 176 divisors, whose sum is σ = 3420291360. Its totient is φ = 256573440.

The previous prime is 962288627. The next prime is 962288641. The reversal of 962288640 is 46882269.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962288641) 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 15 ways as a sum of consecutive naturals, for example, 134760 + ... + 141720.

Almost surely, 2^962288640 is an apocalyptic number.

962288640 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 962288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710145680).

962288640 is an abundant number, since it is smaller than the sum of its proper divisors (2458002720).

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

962288640 is a wasteful number, since it uses less digits than its factorization.

962288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 962288640 is about 31020.7775531175. Note that the first 3 decimals coincide. The cubic root of 962288640 is about 987.2681342070.

The spelling of 962288640 in words is "nine hundred sixty-two million, two hundred eighty-eight thousand, six hundred forty".