1616958400 has 84 divisors (see below), whose sum is σ = 4212841968. Its totient is φ = 608727040.

The previous prime is 1616958379. The next prime is 1616958433. The reversal of 1616958400 is 48596161.

It is a super-2 number, since 2×1616958400² = 5229108934661120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2524 + ... + 56923.

Almost surely, 2^1616958400 is an apocalyptic number.

1616958400 is a gapful number since it is divisible by the number (10) 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 1616958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106420984).

1616958400 is an abundant number, since it is smaller than the sum of its proper divisors (2595883568).

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

1616958400 is a wasteful number, since it uses less digits than its factorization.

1616958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59486 (or 59471 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 1616958400 is about 40211.4212631188. The cubic root of 1616958400 is about 1173.7248033748.

The spelling of 1616958400 in words is "one billion, six hundred sixteen million, nine hundred fifty-eight thousand, four hundred".