961358400 has 252 divisors, whose sum is σ = 3455945844. Its totient is φ = 253440000.

The previous prime is 961358369. The next prime is 961358401. The reversal of 961358400 is 4853169.

It can be written as a sum of positive squares in 6 ways, for example, as 88510464 + 872847936 = 9408^2 + 29544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (961358401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1454070 + ... + 1454730.

Almost surely, 2^961358400 is an apocalyptic number.

961358400 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 961358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727972922).

961358400 is an abundant number, since it is smaller than the sum of its proper divisors (2494587444).

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

961358400 is a wasteful number, since it uses less digits than its factorization.

961358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 961358400 is about 31005.7801062963. The cubic root of 961358400 is about 986.9499024532.

The spelling of 961358400 in words is "nine hundred sixty-one million, three hundred fifty-eight thousand, four hundred".