1061276400 has 90 divisors (see below), whose sum is σ = 3682936400. Its totient is φ = 283006080.

The previous prime is 1061276383. The next prime is 1061276417. The reversal of 1061276400 is 46721601.

1061276400 is a `hidden beast` number, since 1 + 0 + 6 + 12 + 7 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1061276383) and next prime (1061276417).

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1061276400² = 2252615194393920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143800 + ... + 150999.

Almost surely, 2^1061276400 is an apocalyptic number.

1061276400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1061276400 is an abundant number, since it is smaller than the sum of its proper divisors (2621660000).

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

1061276400 is a wasteful number, since it uses less digits than its factorization.

1061276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294823 (or 294809 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1061276400 is about 32577.2374519387. The cubic root of 1061276400 is about 1020.0219141774.

The spelling of 1061276400 in words is "one billion, sixty-one million, two hundred seventy-six thousand, four hundred".