961400 has 96 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 316800.

The previous prime is 961399. The next prime is 961427. The reversal of 961400 is 4169.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41789 + ... + 41811.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁹⁶¹⁴⁰⁰ 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 961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

961400 is an abundant number, since it is smaller than the sum of its proper divisors (1717000).

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

961400 is a wasteful number, since it uses less digits than its factorization.

961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 961400 is about 980.5100713404. The cubic root of 961400 is about 98.6964138047.

Adding to 961400 its reverse (4169), we get a palindrome (965569).

It can be divided in two parts, 961 and 400, that multiplied together give a square (384400 = 620²).

The spelling of 961400 in words is "nine hundred sixty-one thousand, four hundred".