964516 has 48 divisors (see below), whose sum is σ = 2128000. Its totient is φ = 381024.

The previous prime is 964507. The next prime is 964517. The reversal of 964516 is 615469.

It is a super-2 number, since 2×964516² = 1860582228512, which contains 22 as substring.

Its product of digits (6480) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964517) 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, 26050 + ... + 26086.

2⁹⁶⁴⁵¹⁶ 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 964516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064000).

964516 is an abundant number, since it is smaller than the sum of its proper divisors (1163484).

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

964516 is a wasteful number, since it uses less digits than its factorization.

964516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 964516 is about 982.0977548086. The cubic root of 964516 is about 98.8029273502.

It can be divided in two parts, 9 and 64516, that multiplied together give a square (580644 = 762²).

The spelling of 964516 in words is "nine hundred sixty-four thousand, five hundred sixteen".