962601472 has 240 divisors, whose sum is σ = 2472852888. Its totient is φ = 371589120.

The previous prime is 962601469. The next prime is 962601499. The reversal of 962601472 is 274106269.

It can be written as a sum of positive squares in 4 ways, for example, as 867655936 + 94945536 = 29456^2 + 9744^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15780322 + ... + 15780382.

Almost surely, 2^962601472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236426444).

962601472 is an abundant number, since it is smaller than the sum of its proper divisors (1510251416).

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

962601472 is a wasteful number, since it uses less digits than its factorization.

962601472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 962601472 is about 31025.8194412331. The cubic root of 962601472 is about 987.3751068242.

The spelling of 962601472 in words is "nine hundred sixty-two million, six hundred one thousand, four hundred seventy-two".