5961900 has 144 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1274880.

The previous prime is 5961887. The next prime is 5961919. The reversal of 5961900 is 91695.

5961900 = T₇₉ + T₈₀ + ... + T₃₃₀.

It is a super-2 number, since 2×5961900² = 71088503220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35617 + ... + 35783.

It is an arithmetic number, because the mean of its divisors is an integer number (145824).

Almost surely, 2^5961900 is an apocalyptic number.

5961900 is a gapful number since it is divisible by the number (50) 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 5961900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5961900 is an abundant number, since it is smaller than the sum of its proper divisors (15036756).

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

5961900 is a wasteful number, since it uses less digits than its factorization.

5961900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 5961900 is about 2441.7002273006. The cubic root of 5961900 is about 181.3266184196.

The spelling of 5961900 in words is "five million, nine hundred sixty-one thousand, nine hundred".