1060364400 has 240 divisors, whose sum is σ = 3588389376. Its totient is φ = 267125760.

The previous prime is 1060364399. The next prime is 1060364411. The reversal of 1060364400 is 44630601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1060364400² = 2248745321574720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2842614 + ... + 2842986.

Almost surely, 2^1060364400 is an apocalyptic number.

1060364400 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 1060364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794194688).

1060364400 is an abundant number, since it is smaller than the sum of its proper divisors (2528024976).

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

1060364400 is a wasteful number, since it uses less digits than its factorization.

1060364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1060364400 is about 32563.2369398375. The cubic root of 1060364400 is about 1019.7296476878.

The spelling of 1060364400 in words is "one billion, sixty million, three hundred sixty-four thousand, four hundred".