962661600 has 432 divisors, whose sum is σ = 3704762880. Its totient is φ = 234316800.

The previous prime is 962661571. The next prime is 962661629. The reversal of 962661600 is 6166269.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (962661571) and next prime (962661629).

It is a super-2 number, since 2×962661600² = 1853434712229120000, which contains 22 as substring.

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, 4240687 + ... + 4240913.

It is an arithmetic number, because the mean of its divisors is an integer number (8575840).

Almost surely, 2^962661600 is an apocalyptic number.

962661600 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 962661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

962661600 is an abundant number, since it is smaller than the sum of its proper divisors (2742101280).

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

962661600 is a wasteful number, since it uses less digits than its factorization.

962661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 962661600 is about 31026.7884254881. The cubic root of 962661600 is about 987.3956648834.

The spelling of 962661600 in words is "nine hundred sixty-two million, six hundred sixty-one thousand, six hundred".