960548400 has 360 divisors, whose sum is σ = 3895417344. Its totient is φ = 214617600.

The previous prime is 960548387. The next prime is 960548437. The reversal of 960548400 is 4845069.

960548400 is a `hidden beast` number, since 9 + 605 + 4 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1183995 + ... + 1184805.

Almost surely, 2^960548400 is an apocalyptic number.

960548400 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 960548400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947708672).

960548400 is an abundant number, since it is smaller than the sum of its proper divisors (2934868944).

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

960548400 is a wasteful number, since it uses less digits than its factorization.

960548400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 960548400 is about 30992.7152731089. The cubic root of 960548400 is about 986.6726371281.

The spelling of 960548400 in words is "nine hundred sixty million, five hundred forty-eight thousand, four hundred".