964946048 has 128 divisors (see below), whose sum is σ = 2220825600. Its totient is φ = 413332480.

The previous prime is 964945999. The next prime is 964946057. The reversal of 964946048 is 840649469.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×964946048² = 1862241751101636608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 964945987 and 964946005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2687693 + ... + 2688051.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^964946048 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 964946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110412800).

964946048 is an abundant number, since it is smaller than the sum of its proper divisors (1255879552).

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

964946048 is a wasteful number, since it uses less digits than its factorization.

964946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The square root of 964946048 is about 31063.5807337145. The cubic root of 964946048 is about 988.1760956313.

The spelling of 964946048 in words is "nine hundred sixty-four million, nine hundred forty-six thousand, forty-eight".