964487520 has 384 divisors, whose sum is σ = 3736212480. Its totient is φ = 231137280.

The previous prime is 964487507. The next prime is 964487527. The reversal of 964487520 is 25784469.

It is a happy number.

964487520 is a `hidden beast` number, since 9 + 6 + 44 + 87 + 520 = 666.

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 (964487527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688835 + ... + 1689405.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720).

Almost surely, 2^964487520 is an apocalyptic number.

964487520 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 964487520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868106240).

964487520 is an abundant number, since it is smaller than the sum of its proper divisors (2771724960).

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

964487520 is a wasteful number, since it uses less digits than its factorization.

964487520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 964487520 is about 31056.1993811220. The cubic root of 964487520 is about 988.0195486415.

The spelling of 964487520 in words is "nine hundred sixty-four million, four hundred eighty-seven thousand, five hundred twenty".